| |
| |
1. |
How many lines are determined by 7 points, no three of which are collinear? |
| |
|
A. |
42 |
B. |
105 |
| |
|
C. |
200 |
D. |
21 |
| |
|
Hint |
|
| |
2. |
Find 8P3. |
| |
|
A. |
24 |
B. |
1,680 |
| |
|
C. |
336 |
D. |
21 |
| |
|
Hint |
|
| |
3. |
A briefcase combination lock contains 4 digits. Each digit is a number between 0 and 9. How many different combinations are possible if each number can only be used once? |
| |
|
A. |
40 |
B. |
5,040 |
| |
|
C. |
7,200 |
D. |
10,000 |
| |
|
Hint |
|
| |
4. |
A composition teacher needs to choose 10 students out of 15 to serve as rough draft reviewers. A group of 10 seniors, 3 juniors, and 2 sophomores have volunteered. How many different ways can the teacher choose 10 students? |
| |
|
A. |
3,003 |
B. |
36,036 |
| |
|
C. |
133,133 |
D. |
360,360 |
| |
|
Hint |
|
| |
5. |
A composition teacher needs to choose 10 students out of 15 to serve as rough draft reviewers. A group of 10 seniors, 3 juniors, and 2 sophomores have volunteered. If the students are chosen randomly, what is the probability that 6 seniors, 2 juniors, and 2 sophomores will be selected? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
|
|