Question

Hlo listen Plzzzz
how to find value of 11c3.
it's related to binomial theorem class 11

Answer 1

11c3 = 11!/[3!*(11-3)!] = 11!/(3!*8!)

$\frac{fact(11)}{fact(3) \times fact(11 - 3)} \\--> fact(n) = n \times (n - 1) \times (n - 2)...............3 \times 2 \times 1 \\ = \frac{11 \times 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 }{(3 \times 2 \times 1)( 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1)} \\ = 11 \times 5 \times 3 \\ = 165$
if you have any doubts comment below

Answer 2

hope it helps you...........