Evaluate the given binomial coefficient
-${ }_{7} C_{4}$
A) 840
B) $\frac{7}{12}$
C) 35
D) 105

Name: Evaluate the given binomial coefficient -${ }_{7} C_{4}$ A) 840 B) $\frac{7}{12}$ C) 35 D) 105
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Question

Quizplus · Accepted Answer

The binomial coefficient ${ }_{n} C_{k}$ is calculated using the formula ${ }_{n} C_{k} = \frac{n!}{k!(n-k)!}$. For ${ }_{7} C_{4}$, it is $\frac{7!}{4!(7-4)!} = \frac{7 \times 6 \times 5}{3 \times 2 \times 1} = 35$.

Evaluate the Given Binomial Coefficient - 7C4{ }_{7} C_{4}7​C4​ A) 840 B)

Evaluate the Given Binomial Coefficient
- ${ }_{7} C_{4}$ A) 840
B)