12.3b Permutations (with Repeats)

How many different arrangements (permutations) can be made from the letters:

R A D A R

• 5

• 30

• 40

• 120

How many different arrangements (permutations) can be made from the letters:

M A T H E M A T I C S

• 5951638400

• 3568200

• 4989600

• 1566800

How many different arrangements (permutations) can be made from the letters:

E X C E L L E N T

• 595160

• 30240

• 44980

• 1572350

Calculate the number of ways of placing 4 black balls, 4 turquoise balls and 5 gold ball in a row ?

• 90090

• 80080

• 70070

• 60060

A ship must raise eight flags all at once (two red, two blue, and four green).

How many different flag combinations can be raised at a time?

• 420

• 130

• 670

• 550

If there are...

4 cans of soda,

3 cans of lemonade,

5 cans of iced tea

in a cooler, in how many sequences is it possible to consume these drinks?

• 45

• 3700

• 63730

• 27720

How many 9-digit zip codes could be randomly generated from the following 9 digits:

2, 2, 2, 3, 3, 3, 7, 7, and 9

• 5040

• 3370

• 2150

• 4980

How many different 12-digit codes can be written using the following 12 digits:

1, 1, 7, 7, 7, 7, 7, 8, 8, 9, 9, 9

• 10890

• 11940

• 12450

• 166320

A clothing store has a certain shirt in 4 sizes:

small, medium, large, and extra large. If it has

2 small,

3 medium,

6 large, and

2 extra large

in stock, in how many sequences can it sell all the shirts?

• 210210

• 360360

• 530530

• 640640

How many different arrangements (permutations) can be made from the letters:

B A N A N A

• 40

• 50

• 60

• 70