SOLUTION: How many ways can you distribute 4 different balls among 4 different boxes? Some of the boxes can be empty.

Question 1163687: How many ways can you distribute 4 different balls among 4 different boxes? Some of the boxes can be empty.
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
For n distinct objects distributed into r distinct boxes (where order within the box does not matter, and a box may be left empty):

The reasoning is as follows: for the four balls labeled A,B,C,D and four boxes labeled w,x,y,z, you have 4 places (w,x,y,z) to put A, times (4 places to put B), times (4 places to put C), times (4 places to put D).
RELATED QUESTIONS
In how many ways can you distribute $8$ indistinguishable balls among $2$ distinguishable (answered by ikleyn)

In how many ways can you distribute $8$ indistinguishable balls among $5$ distinguishable (answered by greenestamps)

In how many ways can you distribute $8$ indistinguishable balls among $6$ distinguishable (answered by ikleyn,Edwin McCravy)

In how many ways can $4$ balls be placed in $8$ boxes if the balls and boxes are both... (answered by greenestamps)

In how many ways can 5 balls be placed in 4 boxes, if 2 balls are white and 3 balls are... (answered by CPhill,mccravyedwin,Edwin McCravy)

Melanie has 4 different colored crayons and 2 different boxes as shown below. How many... (answered by solver91311,ikleyn)

Jimmy has 3 red boxes and 2 green boxes. How many different ways can the boxes be... (answered by ikleyn)

In how many ways can 12 different things be equally distributed among 4 groups? (1)... (answered by harpazo)

In how many ways can 8 different prizes be distributed equally among 4 students... (answered by ikleyn)