Permutations and Combinations Answers

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?

How many permutations are possible for 11 objects taken 7 at a time?

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?

Which expression represents ?

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

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 the number of possible combinations of n items taken r at a time?

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

Which expression represents the number of possible permutations of n items taken r at a time?