Question

In PE class Flynt is choosing 2 members for his dodgeball team. If he can choose 2 individuals from a group of 6 classmates, how many possible combinations exist? A) 10 B) 12 C) 15 D) 22

Answer 1

Answer:

15

Step-by-step explanation:

Answer 2

Answer:

C) 15

Step-by-step explanation:

Here we have to use the combination to find the number of possible combinations.

Total number of classmates (n) = 6

We are selecting 2 individuals. So r = 2.

The combination formula nCr = $\frac{n!}{r!(n-r)!}$

Plug in n = 6 and r =2, in the above formula, we get

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

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

Simplifying the above factorial, we get

= 15

So the answer is C) 15