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### Permutation and Combination - Quant/Math - CAT 2016

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

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.

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