Find the number of ways of selecting 8 subjects from 12 subjects for an examination
A
490
B
495
C
496
D
498
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #7715)