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Henry's little brother has \(8 \) identical stickers and \(4\) sheets of paper, each a different color. He puts all the stickers on the pieces of paper. How many ways are there for him to do this, if only the number of stickers on each sheet of paper matters?

 Oct 25, 2018

Best Answer 

 #1
avatar+738 
+17

 

Since only the number of stickers on the sheets matters, we can list the possibilities systematically:

\(\begin{align*} & 8-0-0-0 \\ & 7-1-0-0 \\ & 6-2-0-0 \\ & 6-1-1-0 \\ & 5-3-0-0 \\ & 5-2-1-0 \\ & 5-1-1-1 \\ & 4-4-0-0 \\ & 4-3-1-0 \\ & 4-2-2-0 \\ & 4-2-1-1 \\ & 3-3-2-0 \\ & 3-3-1-1 \\ & 3-2-2-1 \\ & 2-2-2-2 \end{align*}\)

 

There are  \(\boxed{15}\)  possible arrangements of stickers on sheets of paper.

 Oct 25, 2018
 #1
avatar+738 
+17
Best Answer

 

Since only the number of stickers on the sheets matters, we can list the possibilities systematically:

\(\begin{align*} & 8-0-0-0 \\ & 7-1-0-0 \\ & 6-2-0-0 \\ & 6-1-1-0 \\ & 5-3-0-0 \\ & 5-2-1-0 \\ & 5-1-1-1 \\ & 4-4-0-0 \\ & 4-3-1-0 \\ & 4-2-2-0 \\ & 4-2-1-1 \\ & 3-3-2-0 \\ & 3-3-1-1 \\ & 3-2-2-1 \\ & 2-2-2-2 \end{align*}\)

 

There are  \(\boxed{15}\)  possible arrangements of stickers on sheets of paper.

KnockOut Oct 25, 2018

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