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Permutation & Combination - Quant/Math - CAT 2009
Question 4 the day:
June 6, 2003
The question for the day is from the topic of Permutation & Combination.
- 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 |
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(2) |
10^5 |
| (3) |
10P5 |
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(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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