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Let n and k be positive integers such that n ge(k(k+1))/2. Find the number of solutions (x_(1),x_(2),x_(3),……………x_(k)), x_(1)ge1,x_(2)ge2,……………..,x_(k)gek, all integers satisfying the condition x_(1)+x_(2)+x_(3)+…………….1x_(k)=n.

Answer»


ANSWER :`.^(m+K-1)C_(k-1)`, where `m=n(k(k+1))/2`


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