Question

A magician performing a magic act has asked for 2 volunteers from the audience to help with his routine. If there are 250 people in the audience, which of the following expressions represents the number of possible pairs of volunteers?

Answer 1

The number of possible pairs of volunteers can be calculated using the combination formula, C(250, 2) = 31125, where 250 is the total number of people and 2 is the number of volunteers to be chosen.

Step-by-step explanation:

The number of possible pairs of volunteers can be calculated using the combination formula.

The number of ways to choose 2 volunteers from a group of 250 people is given by the expression

C(250, 2) = 250! / (2! * (250-2)!)

= (250 * 249) / (2 * 1)

= 31125.

Therefore, the number of possible pairs of volunteers is 31,125.