1. Tina's music library has 91 rock songs and 54 pop songs. She is putting together a playlist of 25 songs. (a) In how many different ways can she choose the 25 songs for her playlist? (NOTE: We are not concerned with where each song appears in the playlist.) You do not need to simplify your answer. (b) In how many different ways can she choose the 25 songs for her playlist if she wants 15 rock and 10 pop songs? (NOTE: We are not concerned with where each song appears in the playlist.) You do not need to simplify your answer.

A boy owns 10 pairs of pants, 6 shirts, 2 ties, and 9 jackets.(a) How many outfits can he wear to school if he must wear one of each item?   (b) How many outfits can he wear to school if he must wear pants, shirt and a jacket, but the tie is optional?

For a fishing trip, Yolanda is going to choose lures to put in her tackle box. She has 7 lures that are buzzbaits and 8  that are spinnerbaits. In how many ways can she choose 7 lures if 5 or more must be spinnerbaits?

Andie has a blue sweater, a red sweater, and a purple sweater. She hasa white shirt and a tan shirt. How many different ways can she wear asweater and a shirt together?

Agustina owns all five books in the Spiderwick Chronicles series. In how many different orders can she place all of them on the top shelf of her bookshelf?

The security department at six employees. Four of them won’t have to work on Thanksgiving day. How many different ways can the supervisors elect for employees who won’t have to work on Thanksgiving day?

Suppose we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D. How many ways can this be done, if the order of the choices is taken into (a) consideration? (b) How many ways can this be done, if the order of the choices is not taken into consideration?

This seems really simple but I can't figure out how to answer it.

Mr. Smith decides to organize a potluck party with neighbors on a weekend. John Smith and his wife Mary Smith and his daughter Judy Smith will prepare three different salad dishes. John's right side neighbor Jenny Jones and Bob Jones will prepare two desserts. John's left side neighbor Linda will prepare one meat dish. John's cross street neighbor Sue will prepare soup. John wants to figure out how many different ways for him to taste all dishes in order (assuming he will taste all salads, meat, desserts and soup). (Note : For example, "Salad, Soup, Salad, Meat, Dessert, Salad, Dessert" is one of the possible order he can try.

In the local boating pond there are 10 plain wooden boats, each with a different number. The owner decides that some of these boats will be painted: one in blue, one in green, one in red, and one in orange, and the remaining ones left unpainted. How many ways are there to paint the boats? The number of ways is