Calculate the binomial coefficient: ${ } _ { 11 } C _ { 8 }$
A)6652800
B)88
C)165
D)1
E)0

Name: Calculate the binomial coefficient: ${ } _ { 11 } C _ { 8 }$ A)6652800 B)88 C)165 D)1 E)0
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Question

Quizplus · Accepted Answer

The binomial coefficient ${ } _ { n } C _ { k }$ is calculated using the formula $\frac{n!}{k!(n-k)!}$. For ${ } _ { 11 } C _ { 8 }$, it is $\frac{11!}{8!(11-8)!} = \frac{11!}{8!3!} = \frac{11 \times 10 \times 9}{3 \times 2 \times 1} = 165$.

Calculate the Binomial Coefficient 11C8{ } _ { 11 } C _ { 8 }11​C8​

Calculate the Binomial Coefficient ${ } _ { 11 } C _ { 8 }$