Question

1. Use permutations to solve each of the given problems

1. A baseball team has 15 players. How many 9-player batting orders are possible?

2. From a cooler with 8 cans of different kinds of soda, 3 are selected for 3 people. In how many ways can this be done?

3. A student speaks to his financial advisor about investment products. The advisor has 9 products available but knows he will only have time to speak out 4. How many different ways can he give the details on 4 different investment products to the customer?

2. Use combinations to solve each of the given problems

1. Four items are to be randomly selected from the first 25 items on an assembly line in order to determine the defect rate. How many different samples of 4 items can be chosen?

2. From a group of 15 smokers and 21 nonsmokers a researcher wants to randomly select 7 smokers and 6 nonsmokers for a study. In how many ways can the study group be selected?

3. The drama department holds auditions for a play with a cast of 5 roles. If 33 students audition, how many costs of 5 people are possible?

Type or paste question here

Answer 1

1)

Total orders in which 9 players can play

   n! = n*(n1)!

= 1816214400

2)

Number of ways

3)

Number of ways

Combbination :

1)

Number of different samples

n! = n*(n1)!

= 12650