Question

Simplify the expression 6C2

Answer 1

Answer:

$^6C_2=15$

Step-by-step explanation:

Recall the formula:

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

We apply this formula to simplify $^6C_2$

This implies that:

$^6C_2=\frac{6!}{(6-2)!2!}$

$^6C_2=\frac{6!}{4!2!}$

$^6C_2=\frac{6\times5\times4!}{4!\times 2\times1}$

This simplifies to

$^6C_2=\frac{6\times5}{2\times1}$

$^6C_2=\frac{3\times5}{1\times1}=15$