Answer:
15
Step-by-step explanation:
This 6C2 is derived from the format nCr, or in other words n choose r. This gives us the number of subsets of r elements, out of n elements;
[tex]n! / r! * ( n - r )![/tex]
Plug in the given values of 6 and 2 and solve for 6C2;
[tex]\frac{n!}{r!\left(n-r\right)!} =\\\frac{6!}{2!\left(6-2\right)!} =\\\frac{6!}{2!\cdot \:4!} =\\\\\\\frac{6\cdot \:5}{2!} =\\\frac{30}{2!} =\\\\\frac{30}{2},\\\\Solution = 15[/tex]
