Question

What is 6C3

Answer 1

in which chapter are u having this?

Answer 2

6C3 means "6 chooses 3" if you are talking about combinations and permutations

nCm is \(\dfrac{n!}{m!(n-m)!}\)

so \[6\text{C}3 = \frac{6!}{3!(6-3)!} = \frac{6!}{3!3!} = \frac{6*5*4*3*2*1 }{(3*2*1)(3*2*1)} = \frac{6*5*4\cancel{*3*2*1}}{\cancel{(3*2*1)}(3*2*1)} \]\[=\frac{120}6 = 20 \]

Answer 3

\[\frac{\bcancel{6*}5*4\cancel{*3*2*1}}{\cancel{(3*2*1)}\bcancel{(3*2*1)}}\]