13a Of the 2000 students at SkyHigh High School 3 are to be

13.a. Of the 2000 students at Sky-High High School, 3 are to be selected to fill the class offices of President, Vice president, and Treasurer. In how many different ways can this be accomplished? b. Suppose a group of three students from the 2000 students at Sky-High is to be selected to play roles as extras in the new teen-age horror movie VAMPIRE BIKINI BABES FROM SPACE. How many different groups can be selected?

Solution

a. It is a permutation question because order matters. Hence, 2000P3 or P(2000, 3) = 7,988,004,000.

b. It is a combination question because order does not matter. Hence, 2000C3 or C(2000, 3) = 1,331,334,000.