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Henry's little brother has $8$ identical stickers and $4$ identical sheets of paper. how many ways are there for him to put all of the stickers on the sheets of paper, if only the number of stickers on each sheet matters?

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barnuts

The easiest way to visualize and answer this is to list all possible combinations or arrangements on the 4 sheets of paper.

Take note that the arrangement is as following:

# of stickers on sheet 1 - # of stickers on sheet 2 - # of stickers on sheet 3 - # of stickers on sheet 4

8 – 0 – 0 – 0

7 – 1 – 0 – 0

6 – 2 – 0 – 0

6 – 1 – 1 – 0

5 – 3 – 0 – 0

5 – 2 – 1 – 0

5 – 1 – 1 – 1

4 – 4 – 0 – 0

4 – 3 – 1 – 0

4 – 2 – 2 – 0

4 – 2 – 1 – 1

3 – 3 – 2 – 0

3 – 3 – 1 – 1

3 – 2 – 2 – 1

2 – 2 – 2 – 2

Therefore there are a total combinations of 15 arrangements of stickers on sheets of paper.

 

 

francocanacari

There are 32 ways to put all of the stickers on the sheets.

Calculus

Given that Henry's little brother has $8$ identical stickers and $4$ identical sheets of paper, to determine how many ways are there for him to put all of the stickers on the sheets of paper, if only the number of stickers on each sheet matters, the following calculation must be performed:

  • 8 x 4 = X
  • 32 = X

Therefore, there are 32 ways to put all of the stickers on the sheets.

Learn more about calculus in https://brainly.com/question/956987

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