I found an interesting question based on integer partitions with limits.

At a shooting competition, a man can get 0,1,2,3,4,5 points for each shot. He shoots 7 times. Find the total number of ways of getting 10 points overall.

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## Comments

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TopNewest6538(using integral equation) i am not sure about the answer but i m sure that the method is right.

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Congrats! Your answer is right! Could you please elaborate on your method for my benefit? I didn't understand what you mean by Integral Equation. Thanks!

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is scoring 1,1,2,1,1,1,0 the same as 2,1,1,1,0,1 ??

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No they are different, since this question requires the total number of possible different sets.

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Isn't anyone going to try solving it and get the correct answer? xD

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