Permutation & Combination Answers

Permutation and Combination - Quant/Math - CAT 2007

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Question 4 the day: April 30, 2003

The question for the day is from the topic Permutation and Combination.

Question:

How many ways can 4 prizes be given away to 3 boys, if each boy is eligible for all the prizes?

(1) 256
(2) 12
(3) 81
(4) None of these

Correct Answer - (3)

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Solution:


Any one prize can be given to any one of the 3 boys and hence there are 3 ways of distributing each prize.

Hence, the 4 prizes can be distributed in 3⁴= 81 ways.