Question

g.pr.10.4 (mc)

evaluate \\(_{12}c_4\\)

Explanation:

State the combination formula

$$ _nC_r = \frac{n!}{r!(n-r)!} $$

Substitute the given values

$$ _{12}C_4 = \frac{12!}{4!(12-4)!} = \frac{12!}{4! \times 8!} $$

Simplify and calculate the value

$$ _{12}C_4 = \frac{12 \times 11 \times 10 \times 9}{4 \times 3 \times 2 \times 1} = \frac{11880}{24} = 495 $$

Answer:

495