Evaluate the factorial expression.
-$\frac { n ( n + 6 ) ! } { ( n + 7 ) ! }$
A) $\frac { n } { ( n + 7 ) ! }$
B) $\frac { 1 } { n + 7 }$
C) $\frac { n } { n + 7 }$
D) $\frac { n } { 7 }$

Question

Quizplus · Accepted Answer

The expression simplifies to $\frac{n(n+6)!}{(n+7)!}$ by recognizing that $(n+7)! = (n+7)(n+6)!$. Thus, the $(n+6)!$ terms cancel out, leaving $\frac{n}{n+7}$.

Evaluate the Factorial Expression n(n+6)!(n+7)!\frac { n ( n + 6 ) ! } { ( n + 7 ) ! }(n+7)!n(n+6)!​

Evaluate the Factorial Expression $\frac { n ( n + 6 ) ! } { ( n + 7 ) ! }$