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Permutation and Combination - Quant/Math - CAT 2009
Question 4 the day:
March 23, 2004
The question for the day is from the topic Permutation and Combination.
- In how many ways can 5 letters be posted in 3 post boxes, if any number of letters can be posted in all of the three post boxes?
| (1) |
5C3
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(2) |
5P3
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| (3) |
53
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(4) |
35
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Correct Answer - (4)
Solution:
Explanatory Answer
The first letter can be posted in any of the 3 post boxes. Therefore, it has 3 choices.
Similarly, the second, the third, the fourth and the fifth letter can each be posted in any of the 3 post boxes.
Therefore, the total number of ways the 5 letters can be posted in 3 boxes is 3*3*3*3*3
= 35
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