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1. |
How many lines are determined by 7 points, no three of which are collinear? |
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A. |
42 |
B. |
200 |
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C. |
105 |
D. |
21 |
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Hint |
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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? |
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A. |
10,000 |
B. |
7,200 |
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C. |
40 |
D. |
5,040 |
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Hint |
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3. |
How many different ways can a coach make a team of 18 players from a tryout of 20 people? |
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A. |
190 |
B. |
3,420 |
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C. |
6,840 |
D. |
380 |
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Hint |
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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? |
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A. |
3,003 |
B. |
133,133 |
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C. |
36,036 |
D. |
360,360 |
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Hint |
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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? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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