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 answer should be 250 objects taken 2 at a time

Answer 2

Number of people in the audience = 250

Number of volunteers required to perform the magic act from the audience =2

As 2 people can be selected from 250 people by using the properties of combination as order of choosing people is not important.

Possible number of ways =
`_(2)^(250)\textrm{C}`

=
`(250!)/(2!* 248!)=249 * 125=`

= 31125 ways