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?
Choose the correct choice.
A) 3^5	B) 2^3	C) 5^3	D) 2	E) 4
The first letter can be posted in any of the 3 post boxes. Therefore, we have 3 possibilities.   Similarly, the second, the third, the fourth and the fifth letter can each be posted in any of the 3 post boxes.   Each of the 5 letters has 3 possibilities because we can post any number of letters in all of the boxes.   Therefore, the total number of ways the 5 letters can be posted in 3 boxes is   3 * 3 * 3 * 3 * 3 = 3^5.   3^5ns: 3^5
<result>A</result>
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?