Bob owns 17 different books. He wants to grab 10 of them and throw them into his backpack. How many distinguishable ways can Bob do this? Hint: order is not important. A. 19,428 B. 19,438 C. 19,448 D. 19,458

Glenn and Kim are members of a comedy troupe that has 10 members in all. How many ways can the 10 members line up if Glenn and Kim must stand side by side? Give the expression that can be used to calculate the number of ways the members of the troupe can line up. Choose the correct answer below. O A. 8!.9.2 B. 10! 2 O C. 8! 8! 2 O E. 10!.9 O G. 81.9 The number of ways that the troupe can line up is (Simplify your answer.) O D. O F. 10! O H. 10!.9.2

Tell wether each problem represets a permutation or a combination. Then solve the problem. Brandon has 8 different plates with which to set the table.  How many different ways can he place the plates? In how many ways can Mia choose 10 mugs fro a collection of 15? How many ways can 7 clarinet players be seated in 7 chairs in the concert band?

I have a permutations & combinations geometry question.