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In how many ways can you put seven marbles in different colors into four jars? Note that the jars may be empty.

2 Answers

5 votes

Answer:

the answer is 16384

Explanation:

have a nice day.

User Clatty Cake
by
8.7k points
7 votes

Answer: 16,384

Explanation:

The seven marbles have different colours, so we can differentiate them.

Now, suppose that for each marble we have a selection, where the selection is in which jar we put it.

For the first marble, we have 4 options ( we have 4 jars)

For the second marble, we have 4 options.

Same for the third, for the fourth, etc.

Now, the total number of combinations is equal to the product of the number of options for each selection.

We have 7 selections and 4 options for each selection, then the total number of combinations is:

C = 4^7 = 16,384

User Andrew Ferrier
by
8.0k points

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