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How many distinguishable ways are there to write 9 as the sum of  1's, 2's, 4's,  and 5's,  where the order of the addends matters? For example, 4 + 4 + 1 and 1 + 4 + 4 are two different ways.

 Dec 17, 2021
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From your example, you can obviously repeat the digits, but to what extent?

 

Can you have: 1+1+1+1+1+1+1+1+1==9, or: 2+2+2+2+1==9......and so on.

 

You have to clarify the question.

 Dec 17, 2021

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