2007

Mathematics

JAMB

In how many ways can 6 subjects be selected from 10 subjects for an examination

A.

218

B.

216

C.

215

D.

210

Correct Answer: 210

Explanation

$^{10} C_{6} = \frac{10!}{(10 - 6)! 6!} = \frac{10!}{4! 6!} = \frac{(10 \times 9 \times 8 \times 7 \times 6!)}{4 \times 3 \times 2 \times 1 \times 6!} = 210$ $^{10} C_{6} = \frac{10!}{(10 - 6)! 6!} = \frac{10!}{4! 6!} = \frac{(10 \times 9 \times 8 \times 7 \times 6!)}{4 \times 3 \times 2 \times 1 \times 6!} = 210$

^{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

^{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

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