Free Printable Permutations - Math 12

1.

How many ways can you spell the word "QUIZ"

a)

6

b)

24

c)

32

d)

120

2.

Jeremy is going to order Pizza, he has the choice between 3 different kinds of crusts. He is allowed to choose 3 toppings for his pizza. For the first topping he has 24 options. For the second topping he wants mushrooms, and for the third topping he wants one of the seven various cheeses they offer. How many different ways can he order the Pizza?

(a)

3.

$\ \$ How many ways can you spell the word "COMPUTER" if you will only choose 4 letters at a time to form new arrangements?

a)

$\frac{8!}{\left(8-4\right)!}$

b)

$\frac{8!}{2!}$

c)

$1520$

d)

4 P 8

4.

What is $\frac{75!}{72!}$ ?

(a)

5.

North American area codes are three digit numbers. Before 1995, area codes had the following restrictions:

The first digit could not be 0, 3, or 8

The second digit was either 5 or 6

The third digit was any number from 1 through 9 inclusive.

Under these rules, how many different area codes were possible?

a)

120

b)

60

c)

140

d)

126

6.

There are 12 different books. How many ways can 5 of these books be arranged on a shelf

a)

95040

b)

87954

c)

3991680

d)

768306

7.

A breakfast consists of choosing one item from each category in the following menu:

Juice: apple, orange, watermelon, blueberry

Toast: white, multi-grain

Eggs: scrambled, over easy, poached

Side: Hashbrown, Bacon, Fried wieners

How many different breakfast combinations are possible?

a)

96

b)

36

c)

54

d)

72

8.

Expand $\ \ _9p_7$

a)

$\frac{9!}{2!}$

b)

$\frac{9!}{7!}$

c)

$\frac{7!}{\left(\frac{1}{3}\right)\left(9\right)!}$

d)

181440

9.

Solve the equation for n... $\frac{6!}{\left(6-n\right)!}\ =\ 30$

a)

n = -2

b)

n=2

c)

n=-4

d)

n=4

10.

$0\ =\ \left(n-8\right)\left(n+7\right)$

What is the solution for n?

a)

n=8, n=-7

b)

n=-8, n=-7

c)

n=8

d)

n=7

11.

Which of the following answers represents $\frac{\left(n+2\right)!}{n!}$ without the Factorial Symbol?

a)

(n+2)(n+1)

b)

(n-3)

c)

n(n+1)

d)

(n+3)(n+2)

Permutations - Math 12 - PreCalculus

Total questions: 11

Worksheet time: 7mins

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