A musician plans to perform 5 selections for a concert. If he can choose from 9 different selections, how many ways can he arrange his program?

• 15,120

• 126

• 45

• 59,049

Evaluate the permutation.

• 1

• 3,628,800

• 7,257,600

Evaluate the expression.

• 1

• 40,320

• 10,080

• 20,160

In how many ways can the letters in the word PAYMENT be arranged if the letters are taken 4 at a time?

• 840

• 420

• 210

• 28

Use a tree diagram showing all possible results when a die is rolled twice. List the ways of getting the following result.

Exactly one die shows a 3.

• (3, 1),(3, 2),(3, 4),(3, 5),(3, 6), (1, 3), (2, 3), (4, 3), (5, 3), (6, 3)

• (3, 1),(3, 2),(3, 4),(3, 5),(3, 6)

• (3, 1),(3, 2),(3, 3), (3, 4),(3, 5),(3, 6), (1, 3), (2, 3), (4, 3), (5, 3), (6, 3)

• (3,3)

Given a group of 8 women and 11 men, how many different ways are there of choosing one man and one woman for a committee?

• 88

• 19

• 342

• 361

A student is told to work any 6 out of 10 questions on an exam. In how many different ways can he complete the exam? (The correctness of his answers has no bearing.)

• 210

• 5040

• 1,000,000

• 24

Use a tree diagram showing all possible results when four fair coins are tossed. Then list the ways of getting the indicated result.

tails on the first coin

• thhh, thht, thth, thtt, tthh, ttht, ttth, tttt

• thhh, thht, thth, thtt, tthh, ttth, tttt

• thhh, thht, thtt, tthh, ttht, tttt

• thhh, tthh, ttth, tttt

Four married couples have reserved eight seats in a row at the theater, starting at an aisle seat. In how many ways can they arrange themselves if Maria is to sit in the aisle seat?

• 5040

• 7

• 823,543

• 40, 320

A poker hand consists of 5 cards dealt from an ordinary deck of 52 playing cards. How many different hands are there consisting of four hearts and one spade?

• 9295

• 715

• 13

• 728