| |
| |
1. |
How many lines are determined by 7 points, no three of which are collinear? |
| |
|
A. |
42 |
B. |
21 |
| |
|
C. |
105 |
D. |
200 |
| |
|
Hint |
|
| |
2. |
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. |
10,000 |
B. |
5,040 |
| |
|
C. |
40 |
D. |
7,200 |
| |
|
Hint |
|
| |
3. |
A briefcase combination lock contains 4 digits. Each digit is a number between 0 and 9. If each number can only be used once, what is the probability that all four digits are odd? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
4. |
How many different ways can a coach make a team of 18 players from a tryout of 20 people? |
| |
|
A. |
380 |
B. |
3,420 |
| |
|
C. |
6,840 |
D. |
190 |
| |
|
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 |
|
|