Verify the expression: {[8(n!)/((m-3)!(n-m-3)!)=(m!)/((m-3)!(m-m-3)!)],[8*(n!)/((m-3)!(m-m-3)!)=((n!)/((m-3)!(n-m-2)!))/((m-2)!)]:}

Simplify First Expression: Simplify the first expression: \[ \frac{8(n!)}{(m-3)!(n-m-3)!} \] Here, $ n! $ is the factorial of $ n $, and the denominators are the factorials of $ m-3 $ and $ n-m-3 $ respectively.Simplify Second Expression: Simplify the second expression: \[ \frac{(m!)}{(m-3)!(m-m-3)!} \] Notice that $ m-m-3 $ simplifies to $ -3 $, which is not valid for factorial operations as factorials are defined only for non-negative integers.

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Verify the expression: $\frac{8(n!)}{((m-3)!(n-m-3)!)}=\frac{(m!)}{((m-3)!(m-m-3)!)}$ ,

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Grade 8

Divide numbers written in scientific notation

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Q. Verify the expression:

\frac{8(n!)}{((m-3)!(n-m-3)!)}=\frac{(m!)}{((m-3)!(m-m-3)!)}

Simplify First Expression: Simplify the first expression: $\newline$ $\frac{8(n!)}{(m-3)!(n-m-3)!}$ $\newline$ Here, $n!$ is the factorial of $n$ , and the denominators are the factorials of $m-3$ and $n-m-3$ respectively.
Simplify Second Expression: Simplify the second expression: $\newline$ $\frac{(m!)}{(m-3)!(m-m-3)!}$ $\newline$ Notice that $m-m-3$ simplifies to $-3$ , which is not valid for factorial operations as factorials are defined only for non-negative integers.