In how many of ways can 4 balls be placed in 3 tins if any number of balls can be placed in any tin? Choices
A) 5C4 B) 5P4 C) 3^4 D) 4^5 E) 5^5
Now, each of the 4 different balls has 3 choices (3 tins to go to), so total # of distribution is 3*3*3*3=3^4.   Answer: 3^4.
<result>C</result>
In how many of ways can 4 balls be placed in 3 tins if any number of balls can be placed in any tin?