Question

1. 8!=8(n!)
2. n+1=10!/n!
3. (n+2)!/(n+1)!=4!
4. 10(n+4)(n+3)(n+2)(n+1)=10!/n!

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Answer 1

8! = 8(n!)

$\frac{8!}{8} = n!\\ \\\frac{8.7!}{8} = n!\\\\7! = n!\\ n = 7$

$n + 1 = \frac{10!}{n!}\\\\n!(n+1) = 10!\\\\(n+1)! = 10!\\n + 1 = 10\\n = 10 -1\\n = 9$

$\frac{(n+2)!}{(n+1)!} = 4!\\ \\\frac{(n+2)(n+1)!}{(n+1)!} = 4!\\(n+2) = 4!\\\\n+2 = 24\\\\n = 24 -2\\\\n = 22$

Eternamente axllxa