3. In how many ways can the letters of the word MATH be arranged?

A. 4
B. 12
C. 24
D. 48

4. Which one is equivalent to 5!?

A. 5 x 1
B. 5 x 4
C. 5 x 4 x 2
D. 5 x 4 x 3 x 2 x 1

5. Which expression is equivalent to 4P4?

A. 4 x 4
B. 3 x 4
C. 4 x 4 x 3 x 2 x 1
D. 4 x 3 x 2 x 1

6. Which expression gives the number of ways of arranging five different books in a shelf?

A. (5 —1)!
B. 5!
C. 5 x 4
D. 5 x 5

7. Evaluate 8P3.

A. 120
B. 336
C. 520
D. 5,040

8. A new model of a car is available in five exterior colors, four interior colors, and two interior styles. How many versions of car are available for order?

A. 20
B. 40
C. 80
D. 120

9. A bookshelf has n different algebra books and three different geometry books. If there are 5 040 ways to arrange the books on the shelf, how many algebra books are on the bookshelf?

A. 4
B. 5
C. 6
D. 7

Use this situation for items 10 to 12. Find the number of different arrangements of the letters of the word HONESTY if

A. 300
B. 360
C. 3,600
D. 5,040

11. Only two letters are taken at a time.

A. 30
B. 42
C. 64
D. 80

12. Only four letters are taken at a time.

A. 360
B. 840
C. 1,260
D. 2,520

Use this situation for items 13 to 15. There are five boys and four girls to sit in a row. How many possible arrangements are there if:

13. The first seat is reversed for a boy?

A. 2, 880
B. 10,080
C. 60,480
D. 201,600

14. The first and last seats are for girls

A. 2,880
B. 10,080
C. 60,480
D. 201,600

15. The boys and girls sit alternately?

A. 2,880
B. 10,080
C. 40,320
D. 420,240
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