Correct Answer: Option B

Explanation

To calculate the binomial coefficient \(^{12}C_{8}\):

\(^{12}C_{8} = \frac{12!}{8!4!} = \frac{12 \times 11 \times 10 \times 9}{4!}\)

Calculating \(4!\):

\(4! = 24\)

Thus, \(^{12}C_{8} = \frac{12 \times 11 \times 10 \times 9}{24} = \frac{11880}{24}\) = 495

= \(^{12}C_{8}\) = 495

There is an explanation video available below.

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