Permutation and Combination - Quant/Math - CAT 2007
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)
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.
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