In how many of ways can 5 balls be placed in 5 tins if any number of balls can be placed in any tin?
Choose the correct answer:
A) 5C4
B) 5P4
C) 54
D) 4^5
E) 5^5
Now, each of the 5 different balls has 5 choices (5 tins to go to), so total # of distribution is 5*5*5*5*5=5^5.   Answer: 5^5.
<result>E</result>
In how many of ways can 5 balls be placed in 5 tins if any number of balls can be placed in any tin?