A man has 6 friends. Number of different ways, he can invite 2 or more for dinner is -Maths 9th

A man has 6 friends. Number of different ways, he can invite 2 or more for dinner is -Maths 9th
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1 Answer

Answer :

He can invite one or more friends by inviting 1 friend, or 2 friends or 3 friends, or all the 6 friends.
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Four friends have 7 shirts, 6 pants and 8 ties. In how many ways can they wear them? -Maths 9th

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Last Answer : The selection of 6 balls, consisting of at least two balls of each color from 5 red and 6 white balls can be made in the following ways: Red balls (5) White balls(6) Number of ways 2 4 5 C 2 ​ × 6 C 4 ​ =150 3 3 5 C 3 ​ × 6 C 3 ​ =200 4 2 5 C 4 ​ × 6 C 2 ​ =75 Total 425

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Last Answer : The possible cases are: Case I : A man invites (3 ladies) and woman invites (3 gentlemen) 4 C 3 4 C 3 =16 Case II : A man invites (2 ladies,1 gentleman) and woman invites (2 gentleman, 1 lady) ( 4 ... and woman invites (3 ladies) 3 C 3 3 C 3 =1 Total number of ways =16+324+144+1=485

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Last Answer : Have the 55 boys stand in a line. This can be done in 5!5! ways. For the moment, add a boy at each end, who will be removed when we're done. Now send the 33 girls, one at a time, to ... that each girl can either wedge herself between two boys or else stand next to a boy at one end or the other.

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Last Answer : Now there are 7 places vacant between these 7 men. ∴ 7 women can seat themselves in these 7 places in 7 ! ways. ∴ Total number of required arrangement where no two women sit together = 6!

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Last Answer : ∴Required number of ways = 7C4 = 7!

In how many ways can a team of 11 players be selected from 14 players when two of them play as goalkeepers only? -Maths 9th

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