Evaluate the expression.
-$\frac { 9 ! } { 5 ! \cdot 4 ! }$
A) 24
B) 1
C) 126
D) 362,736

Name: Evaluate the expression. -$\frac { 9 ! } { 5 ! \cdot 4 ! }$ A) 24 B) 1 C) 126 D) 362,736
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Quizplus · Accepted Answer

The expression simplifies by canceling out the common factorial terms. $9! = 9 \times 8 \times 7 \times 6 \times 5!$ and $5! \cdot 4! = 5! \times (4 \times 3 \times 2 \times 1)$. So, $\frac{9!}{5! \cdot 4!} = \frac{9 \times 8 \times 7 \times 6}{4 \times 3 \times 2 \times 1} = 126$.

Evaluate the Expression 9!5!⋅4!\frac { 9 ! } { 5 ! \cdot 4 ! }5!⋅4!9!​

Evaluate the Expression $\frac { 9 ! } { 5 ! \cdot 4 ! }$