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1. |
The calculus class is preparing for the Advanced Placement Exam. If there are 12 girls in a class of 20, how many study groups of 3 girls and 2 boys can be formed? |
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A. |
8395 |
B. |
5670 |
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C. |
6160 |
D. |
110 |
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Hint |
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2. |
How many lines are determined by 7 points, no three of which are collinear? |
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A. |
105 |
B. |
42 |
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C. |
200 |
D. |
21 |
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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. |
380 |
D. |
6,840 |
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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. |
36,036 |
B. |
133,133 |
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C. |
360,360 |
D. |
3,003 |
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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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