Question

How many ways can you distribute 4 different balls among 4 identical boxes?

Answer 1

Answer: 24 different ways

Step-by-step explanation:

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Answer 2

Answer:

24 different ways

Step-by-step explanation:

You have to make a choice which ball to put in the first box.             You have 4 options.  

Then you must make a choice which ball to put in the second box.   You have 3 options (there are three balls left)

Then you have to make a choice which ball to put in the third box     You have 2 options (there are two balls left)

It isn't necessary to make a choice about the fourth box, because there's only 1 option (there's only one ball left)

So you have 4 choices for the first box.

For each of those 4 choices, you have 3 choices for the second box.  That makes 12 number of ways.

For each of those 12 ways, you have 2 choices left for the third box.   That makes 24 number of ways.

You have only 1 ball left for the fourth box, so that leaves you at  ................. .......  24 number of ways.

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