The GMAT Sample Math 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?
- 5 C 3
- 5 P 3
- 53
- 35
- 25
The correct choice is (D) and the correct answer is
35.
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
= 3
5

eBooks on Permutation Combination & Probability