Evaluate 6C2

6 and 2 are underscored

I know that if it was P it would be 6-2 for the first step. What do I do since its C.

6C2 = (6P2)/2! = 6*5/2 = 15

To evaluate 6C2, where 6 is the total number of options and 2 is the number of choices you want to make, you need to understand that "C" stands for combinations.

In combinations, order doesn't matter. So, you don't need to subtract 2 from 6 like you would in permutations.

To calculate combinations, you can use the formula:

nCk = n! / (k!(n-k)!)

In this case, n represents the total number of options (6) and k represents the number of choices you want to make (2).

So, to evaluate 6C2, you can substitute these values into the formula:

6C2 = 6! / (2!(6-2)!)

Now, you can simplify the expression by calculating the factorials:

6! = 6 x 5 x 4 x 3 x 2 x 1 = 720
2! = 2 x 1 = 2
(6-2)! = 4! = 4 x 3 x 2 x 1 = 24

Substituting these values into the formula:

6C2 = 720 / (2 x 24)

Now, perform the multiplication:

6C2 = 720 / 48

Finally, divide 720 by 48:

6C2 = 15

Therefore, 6C2 is equal to 15.