| |
| |
1. |
Find the number of ways a family of 4 can stand next to each other for a photograph. |
| |
|
A. |
24 |
B. |
76 |
| |
|
C. |
120 |
D. |
10 |
| |
|
Hint |
|
| |
2. |
Determine the number of ways awards can be given for first, second, and third places in a race if there are 7 runners participating. |
| |
|
A. |
2520 |
B. |
840 |
| |
|
C. |
5040 |
D. |
210 |
| |
|
Hint |
|
| |
3. |
Compute 5! |
| |
|
A. |
120 |
B. |
60 |
| |
|
C. |
15 |
D. |
720 |
| |
|
Hint |
|
| |
4. |
A baseball team has 15 players, but there are only 9 positions. How many different choices are there for how to put 9 players on the field? |
| |
|
A. |
1,307,674,368,000 |
| |
|
B. |
1,816,214,400 |
| |
|
C. |
120 |
| |
|
D. |
99 |
| |
|
Hint |
|
| |
5. |
Evaluate 2! · 7!. |
| |
|
A. |
10,080 |
B. |
14 |
| |
|
C. |
362,880 |
D. |
5,040 |
| |
|
Hint |
|
|
|