If both the balls and the boxes are distinguishable, we can think of placing each ball in one of the four boxes. Since there are 4 balls and 4 boxes, each ball has 4 choices of boxes to be placed in.
Therefore, the total number of ways to place the 4 balls in the 4 boxes is:
4
×
4
×
4
×
4
=
4
4
=
256
4×4×4×4=4
4
=256
So, there are 256 ways to place the 4 balls in the 4 boxes if both the balls and the boxes are distinguishable.Answer:
Step-by-step explanation: