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Let n and k be positive integers such th...

Let n and k be positive integers such that `n gt (k(k+1))/2`. The number of solutions `(x_(1),x_(2), . ..x_(k)),x_(1) ge 1, x_(2) ge 2,, . . .x_(k) ge k` for all integers satisfying `x_(1)+x_(2)+ . . .+x_(k)=n` is:

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The correct Answer is:
`.^(m+k-1)C_(k-1)`, where `m=n(k(k+1))/2`
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