for-x-y-z-10-with-x-y-z-N-find-10-x-y-z-

Question Number 135472 by mr W last updated on 13/Mar/21

f o r x + y + z = 10 w i t h x, y, z \in N

f i n d Σ \frac{10!}{x! y! z!}

Answered by Ñï= last updated on 13/Mar/21

Σ (\begin{matrix} 10 \\ x, y, z \end{matrix}) = {(1 + 1 + 1)}^{10} = 3^{10}

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