Evaluate the given binomial coefficient.
-${ } _ { 9 } \mathrm { C } _ { 4 }$
A) 3024
B) 126
C) 7560
D) $\frac { 9 } { 20 }$

Question

Quizplus · Accepted Answer

The binomial coefficient ${ } _ { 9 } \mathrm { C } _ { 4 }$ is calculated using the formula $\frac{n!}{k!(n-k)!}$, where $n=9$ and $k=4$. Thus, ${ } _ { 9 } \mathrm { C } _ { 4 } = \frac{9!}{4!(9-4)!} = \frac{9!}{4!5!} = \frac{9 \times 8 \times 7 \times 6}{4 \times 3 \times 2 \times 1} = 126$.

Evaluate the Given Binomial Coefficient 9C4{ } _ { 9 } \mathrm { C } _ { 4 }9​C4​

Evaluate the Given Binomial Coefficient ${ } _ { 9 } \mathrm { C } _ { 4 }$