Permutations and Combinations Answers

What is ?

Of the 10 contestants in a televised quiz competition, 2 were eliminated during this week’s show, and 2 more will be eliminated during next week’s show. How many groups of 6 remaining contestants are possible a week from now? Assume that the show airs on the same day every week.

How many combinations are possible for 13 objects taken 6 at a time?

A trial jury of 6 people will be chosen from among 18 candidates. How many juries are possible?

A choir has 3 spots open for altos, and 8 altos are interested in them. In how many ways can the open spots be filled?

Which expression represents ?

A department store is hiring for the positions of manager, associate manager, and assistant manager. If 15 people have applied for all the positions and are equally qualified for each position, in how many ways can the positions be filled?

Which statement is true?

A raffle is being held to raise money for wildlife conservation efforts. Ten different gift cards are being awarded. If 3,125 people each bought a single raffle ticket, which of the following expressions represents the number of ways the gift cards can be awarded? Assume that each person can win only once.

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?