In how many different ways can 6 apple and 6 orange form a circle such that the apple and the orange alternate? A) 82880 B) 86400 C) 71200 D) 63212

 In how many different ways can 6 apple and 6 orange form a circle such that the apple and the orange

alternate?

A) 82880

B) 86400

C) 71200

D) 63212
by

1 Answer

Answer :

Answer: B)

 6 apples can be arranged in (6-1)! Ways

 Now there are 6 positions in which 6 orange can be placed.

 This can be done in 6! ways.

Required number of ways = (6-1)! × 6!

 = 5! × 6!

 = 120 × 720

 = 86400
by

Related questions

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Last Answer : Answer: A)  There are 3 consonants and 3 vowels in the word DILUTE.  Out of 6 places, 3 places odd and 3 places are even.  3 vowels can arranged in 3 even places in 3p3 ways = 3! = 6 ways.  And then 3 ... 3 places in 3p3 ways = 3! = 6 ways.  Hence, the required number of ways = 6 x 6 = 36.

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