Permutation & Combination Answers

Permutation and Combination - Quant/Math - CAT 2007

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Question 4 the day: June 6, 2003

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

Question:

How many ways can 10 letters be posted in 5 post boxes, if each of the post boxes can take more than 10 letters?

(1) 5^10
(2) 10^5
(3) 10P5
(4) 10C5

Correct Answer - (1)

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Solution:


Each of the 10 letters can be posted in any of the 5 boxes.

So, the first letter has 5 options, so does the second letter and so on and so forth for all of the 10 letters.

i.e. 5*5*5*�.*5 (upto 10 times)

= 5 ^ 10.