Find the number of ways of selecting 6 out of 10 subjects for an examination
A
128
B
216
C
215
D
210
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
\(^{10}C_6 = \frac{10!}{(10-6)!6!}\)
= \(\frac{10!}{4!6!}\)
=\(\frac{10\times 9\times 8 \times 7 \times 6!}{4\times 3\times 2\times 1 \times 6!}\)
= 210.
Source: Myschool Past Questions Archive (Record #9300)