How to determine the difference between a problem that involves permutations and one that involves combinations?

1 Answer

Answer :

answer:That example is indeed tough. At first glance you’re not certain if the chronology of the meetings matters, or you’re just determining which ten students get to have meetings. But you’re absolutely right; since the question mentions meetings happening one at a time, chronology comes into play. Here are two very similar questions, but it will be clear which one is a combination and which is a permutation: There were ten questions on last night’s homework assignment, and the teacher wants ten students to write the answers up on the board. If there are twenty students in the class, and no one student may do two questions, in how many ways can the students put the homework assignment on the board? There were ten questions on last night’s homework assignment, and the teacher wants ten students to write the answers up on the board. If there are twenty students in the class, and no one student may do two questions, how many different groups of students can participate? The difference is subtle, but the first is a permutation and the second a combination. The first specifies a difference between Mike doing problem #1 and Mike doing problem #9: if Mike does a different problem, that’s a different “way” in which the problems can be written on the board. The second only asks about the group of students participating versus the group of students not participating; it doesn’t matter which problem each student does. Combinations generally focus on choosing a group, permutations focus on choosing a lineup.

Related questions

Description : Can you help with this algebra problem?

Last Answer : http://www.wolframalpha.com/input/?i=x%3Da%C2%B2%2Fb%2Ba+solve+for+a good luck trying to get there yourself.

Description : Can someone help me solve this algebraic word problem?

Last Answer : K + T + M = 210,000 K = 2T = 0.5M ( simplifying M = 4T ) Substituting for K and M into the first equation gives: 2T + T + 4T = 210,000 7T =210,000

Description : Help with a cubic function problem?

Last Answer : answer:We aren't supposed to tell you the answer since this appears to be homework, but I will give you advice. Whenever you have a question involving translations, what you should do is to graph the ... for it, giving you your answer. Regarding your answer, it does not seem to be correct as is.

Description : Will someone help this e.coli victim with this algebra problem?

Last Answer : answer:Yeah – that seems wrong. I get -3.2x -51.3. Although I don’t know if I’m reading that clearly. There may be some confusion about which is a minus, which is a negative, which is the variable, and which is the multiplication sign.

Description : How do I solve this rate problem?

Last Answer : answer:The trick to this problem is realizing that you really have TWO simultaneous rate / time problems. What we know is that Alex drove 220 miles at one rate and 80 miles at another rate (15 mph slower) for two ... rest is easy to solve. 220 miles in 4 hours = 55 mph 80 miles in 2 hours = 40 mph

Description : How can I remember to set up an equation like this problem?

Last Answer : Whenever you’re solving a question like that, you always want to end up with only one (possibly more) number on the opposite side of the letter.

Description : Can someone please help me with a rational equation word problem?

Last Answer : answer:Time = Distance / Speed Let x = speed of boat in still water Then downstream speed = x+5 upstream speed = x-5 So equating the times upstream & downstream yields: 20 / (x+5) = 10 / (x-5) Now ... : 20x - 100 = 10x + 50 etc. Answer is 15. This kind of problem can be tricky! Hope that helps.

Description : Linear algebra problem: Rank of a matrix

Last Answer : Linear algebra problem: Rank of a matrix https://youtu.be/b7tPLA3_y6Y

Description : Linear algebra problem: The determinant of the matrix

Last Answer : Answer : Linear algebra problem: The determinant of the matrix

Description : Linear Algebra Problem the solution to the system of equations

Last Answer : Linear Algebra Problem the solution to the system of equations https://youtu.be/y_FlupirxZM

Description : Linear Algebra Problem 2

Last Answer : https://youtu.be/zAPDYO0q-9w Linear Algebra Problem 2

Description : Linear Algebra Problem The product of eigen values of the matrix

Last Answer : Linear Algebra Problem The product of eigen values of the matrixhttps://youtu.be/JGcynUZFQ78

Description : Why doesn't this work (combinations and permutations)?

Last Answer : answer:It seems to me that in the multiplication you're attempting that you're double-counting some of the groups, aren't you? I'm having a hard time visualizing this, but I went to Wolfram ... first two women's choices are counted) The sum of these permutations is the same 285 that you expected.

Description : How do I work out the value of G in this question?

Last Answer : Think about it. You already have one of the values. The rest is easy. If you had to guess how to do it, how would you do it?

Description : What is the derivative of y = tan 1/2 x^3?

Last Answer : 3xraised2/(2*cos((xraised3)/2)raised2) Now work it back and see how that happened.

Description : What does the little number to the bottom right of a number mean in algebraic expressions?

Last Answer : answer:http://mathforum.org/library/drmath/view/61321.html Date: 09/30/2002 at 23:37:35 From: Doctor Peterson Subject: Re: Subscript vs. Superscipt Hi, Kevin. A subscript is just a letter or ... questions, feel free to write back. - Doctor Peterson, The Math Forum http://mathforum.org/dr.math/

Description : Recall a parody of how math word problems have changed over time and how they reflect lowered educational standards?

Last Answer : I remember getting something like this years ago, but sorry, I don’t have it. I would like to though.

Description : How do you know where to put the "x" in the proportions?

Last Answer : answer:Percent problems translate very directly from English to math. I'll show you with an example: The problem is, What percent of 40 is 10? What is what you're solving for. This should be your x. Per cent - per means ... is 20% of 200? What: x Is: = %: /100 Of: * x = 20/100 * 200 x = 40

Description : How do you retrieve something you lost?

Last Answer : answer:You could post a notice on the bulletin board or ask the math teachers to make an announcement. Or perhaps Bob could point out the eighth grader when you go back on Monday. But I think maybe you’ve lost it. Sorry.

Description : Will you help me here at the end of my algebra journey?

Last Answer : answer:1) To find the slope, you use the following formula: slope formula: m = [y1 - y2] / [x1 - x2] 2) Now you have the slope and two points. You can find the equation (by solving first for ... b=5: y = 3x + 5 . Reference: Straight-Line Equations: Slope-Intercept Form and Slope of a Straight Line

Description : What symbol on my keyboard is used to mean the infinity sign?

Last Answer : Try holding down the alt key and typing in 236 on the number keyboard. If you are using Word 2007 type 8734

Description : Will you guys help me with my algebra homework today?

Last Answer : answer:I’ll give you a hint: Your problem is here: x – (1.8 – 4(x – 3.1x – 34.1))=0 x – (1.8 – 4x – 45.7x + 136.4)=0 Where does the -45.7x come from? Should it really be negative?

Description : Are these two lines perpendicular?

Last Answer : answer:They’re not. Just draw them on a piece of paper and it’ll appear clear as day. The coefficient of x has to be n in one and -(1/n) in the other for them to be perpendicular, in this case the second one is 1/n.

Description : How can it be that ∞ always has an ) in interval notation?

Last Answer : Because you can’t include everything. It never ends, how can it be fully contained?

Description : Algebra question: How does 2^-2=1/4? Why doesn't it equal -4?

Last Answer : Negative exponents turn to fractions.

Description : Anyone willing to help me with my Modern Algebra questions?

Last Answer : Sorry, but no homework questions here!

Description : How do I Show that either f(1)=0 or f(1)=1 ii) Show that either f maps each element of F to 0 or f is injective.

Last Answer : fluther is not the place to answer homework questions. That said, I’m happy to help you. Check your private comments.

Description : How do you convert a fraction into a whole number?

Last Answer : multiply across everything by the reciprocal of the fraction you want to get rid of. this will leave 1.

Description : What is the name of the theorem that proves this equation?

Last Answer : More information is needed. As it stands, I can think of several examples where it isn’t true. a = 0, b = 0: 0 – 0 ≠ 0 + 0 + 1 a = 0, b = 1: 0 – 1 ≠ 3 + 3 + 1

Description : What type of correlation would you expect between the number of minutes a candle burns and the height of the candle?

Last Answer : This seems like a rate question.

Description : Can you handle this algebraic brain teaser?

Last Answer : 0 and 1

Description : 3x = 81 how is this equation solved?

Last Answer : because 3x here means “3 to the fourth power”, which would be 81 (3×3 x 3×3)

Description : Solving for variable;; algebra 2?

Last Answer : Just like you would solve an equation with x, you want to get N by itself, so treat the other variables like numbers. If I were solving P + Z = 2 for P, I would move Z to the other side and get P = 2 – Z

Description : Algebra 2 help;; solve:?

Last Answer : cross multiply or multiply everything by the LCD to get rid of the fractions, either way works

Description : Is E[equal]MC'2 the most popular formula ever?

Last Answer : It sure seems that way. There is a pretty amazing Giorgio Moroder album named E[equal]MC2.

Description : Rational exponent (Algebra)

Last Answer : Rational exponent (Algebra)

Description : Logic Simplification Using Boolean Algebra

Last Answer : Logic Simplification Using Boolean Algebra 1 : https://youtu.be/fuoSMm2dJMc Logic Simplification Using Boolean Algebra 2 : https://youtu.be/bfCdur2QcJ4 Logic Simplification Using Boolean Algebra 3 : ... .be/V02wz8gz1UU Logic Simplification Using Boolean Algebra 7 : https://youtu.be/rgnJKgFO-SU

Description : How to display all permutations of Strings in Java?

Last Answer : Well, how would you go about finding these permutations yourself, if you didn’t have the help of a computer program? Let’s think about this with the example of an easy, short word: test. You might start by fixing the beginning of the word in place, and only swapping the remaining letters… t

Description : The letters of the word ‘COCHIN’ are permuted and all the permutations are arranged in alphabetical order as in English dictionary. -Maths 9th

Last Answer : answer:

Description : The tone of the poet is sarcastic. When he writes ‘All spaces are gridded filled with permutations of

Last Answer : The tone of the poet is sarcastic. When he writes All spaces are gridded filled with ... some more sarcastic lines having the same effect.

Description : How many four letter permutations can be formed from the first five letters of the alphabet?

Last Answer : Need answer

Description : How many distrinct permutations can be formed using the letters of the word Tennessee?

Last Answer : nkhnlk453

Description : How many district permutations can be formed using the letters of the word TENNESSEE?

Last Answer : Need answer

Description : How many distinct permutations can be formed using the letters of the word TENNESSEE?

Last Answer : Need answer

Description : String Processing --- Write out a function that prints out all the permutations of a string. For example, abc would give you abc, acb, bac, bca, cab, cba.

Last Answer : void PrintPermu (char *sBegin, char* sRest) { int iLoop; char cTmp; char cFLetter[1]; char *sNewBegin; char *sCur; int iLen; static int iCount; iLen = strlen(sRest); if (iLen == 2) { iCount++; ... printf("\nEnter a string:"); scanf("%s%*c",sIn); memset(s,0,255); PrintPermu(s, sIn); }

Description : DES works by using a. permutation and substitution on 64 bit blocks of plain text b. only permutations on blocks of 128 bits c. exclusive ORing key bits with 64 bit blocks d. 4 rounds of substitution on 64 bit blocks with 56 bit keys

Last Answer : a. permutation and substitution on 64 bit blocks of plain text 

Description : How many different possible permutations can be made from the word ‘WAGGISH’ such that the vowels are never together? A) 3605 B) 3120 C) 1800 D) 1240 E) 2140

Last Answer : Answer: C)  The word ‘WAGGISH’ contains 7 letters of which 1 letter occurs twice  = 7! / 2! = 2520 No. of permutations possible with vowels always together = 6! * 2! / 2!  = 1440 / 2 = 720 No. of permutations possible with vowels never together = 2520-720  = 1800.

Description : The establishment of the overall audit strategy involves a. Determining the characteristics of the engagement that defines its scope. b. Ascertaining the reporting objectives of the engagement to plan the timing ... will determine the focus of the engagement team's efforts. d. All of the answers

Last Answer : All of the answers

Description : The establishment of an overall audit strategy involves I. Determining the characteristics of the engagement that define its scope. II. Ascertaining the reporting objectives of the engagement to plan the timing of the audit and the ... II only b. I and III only c. II and III only d. I, II, and III

Last Answer : I, II, and III