Question: How many solutions does the equaion x 1 +x 2 +x 3 =11 have, where x 1 1, x 2 2 and x 3 3

How many solutions does the equaion x1+x2+x3=11 have, where x11, x22 and x33 ?

An explanation would be nice too. I know that the answer is: C(n + r 1, r) = C(3+ 51, 5) = C(7, 5)=21, but I have no idea how.

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