Evaluate the expression.
-$\frac { 10 ! } { 5 ! 5 ! }$
A) 126
B) 30,240
C) 252
D) 504

Name: Evaluate the expression. -$\frac { 10 ! } { 5 ! 5 ! }$ A) 126 B) 30,240 C) 252 D) 504
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Question

Quizplus · Accepted Answer

The expression $\frac { 10 ! } { 5 ! 5 ! }$ calculates the number of ways to choose 5 items out of 10, which is a combination problem solved using the formula for combinations $C(n, k) = \frac{n!}{k!(n-k)!}$. Here, $n=10$ and $k=5$, so the expression simplifies to $C(10, 5) = \frac{10!}{5!5!}$, which equals 252.

Evaluate the Expression 10!5!5!\frac { 10 ! } { 5 ! 5 ! }5!5!10!​

Evaluate the Expression $\frac { 10 ! } { 5 ! 5 ! }$