all positive triplet

\hspace{-16}$Find all Positive Integer Triplet $\bf{(x,y,z)}$ that satisfy\\\\ $\bf{x!+y!=15\times 2^{z!}}$

3 Answers

21
Arnab Kundu ·

Very easy..... WLOG x≥y . Hence y≤5.
Easy computation gives no solution for y=5.

If y≤x≤5. we get tiplets:

\boxed{\left(x,y,z \right)=\left(3,4,1 \right)}

1708
man111 singh ·

thanks Arnab

11
Sambit Senapati ·

How is y≤5? Please explain.

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