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?
A.
110
B.
6160
C.
8395
D.
5670
Hint
2.
How many lines are determined by 7 points, no three of which are collinear?
A.
21
B.
42
C.
105
D.
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 two-person teams can be made from 6 people?
A.
30
B.
15
C.
360
D.
120
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. How many different ways can the teacher choose 10 students?
A.
360,360
B.
3,003
C.
36,036
D.
133,133
Hint