51. a. In a drama class, 5 students are to be selected from 24 students to perform a synchronized dance. In how many ways can 5 students be selected from the 24? (See Example 7) b. Determine the number of ways that 5 students can be selected from the class of 24 to play 5 different roles in a short play.

1. You just won 4 tickets to a concert, but you have 8 friends who would like to go with you. How many different ways can you give out the extra 3 tickets to your friends? 2. The booster club has 10 people running for the offices of president, vice-president, secretary and treasurer. How many ways can the offices be filled?

A doctor visits her patients during morning rounds. In how many ways can the doctor visit 8 patients during the morning rounds?

1.A company trying to decide which 3 colors to include in a promotional mini box of 3 crayons. They can choose 3 mini box colors from 75 colors. How many mini boxes are possible? 2. Pizza parlor has a choice of 11 toppings. How many different 7-topping pizzas are possible?