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- 1. Multiple Choice
A 'combination' lock has a dial bearing the numbers 1 through 16. How many different 3-number 'combinations' are possible if there are no restrictions on the 3 numbers (example: 16-5-4, 5-16-4, 3-3-12 are three different, valid 'combinations')?
48
4096
3360
256
- 2. Multiple Choice
Prior to the coin toss for a football game, the captains for the two teams meet at midfield. One team has three captains and the other team has five captains. Each captain from the first team shakes hands with each captain from the other team. How many handshakes occur?
30
8
15
17
- 3. Multiple Choice
A seven-question quiz has 4 true/false questions followed by 3 multiple choice questions. For each multiple choice question there are four possible answers. In how many different ways is it possible to answer the seven questions?
12
80
28
1024
- 4. Multiple Choice
Harpo, Groucho, Chico, Zeppo, Gummo and Karl are running in a race. How many different orders of finish are possible?
36
64
720
46656
- 5. Multiple Choice
Socrates, Euclid, Plato, Aristotle, Diogenes, and Democritus are going to choose from among themselves one person to wax the floor and another person to scrub the toilet. How many different outcomes are possible?
36
720
30
25
- 6. Multiple Choice
Jethro has just purchased a hamster to be a companion for his gerbil, D.W. He is going to name the hamster by choosing a first name and second name from this list of names: Billy, Bobby, Bubba, Brett. The first name may or may not differ from the second name. How many different two-part names are possible?
8
12
16
64
- 7. Multiple Choice
Euclid needs to create a password for his internet account. To simplify things, he is going to form a four-letter password by choosing letters from this set: {A, D, E, M, R, S,T}. How many different passwords are possible if the second and fourth letters will be vowels and the other two letters won’t be vowels (repeated letters are possible)?
40
100
256
14
- 8. Multiple Choice
Two number cubes are rolled, then a spinner with 4 different colors on it is spun twice, then two coins are flipped. How many total possible outcomes are there?
4096
24
46,656
2,304
- 9. Multiple Choice
A minor-league baseball team had three players tryout for each of the nine positions. How many ways could the team be formed?
6561
27
729
19,683
- 10. Multiple Choice
How many distinguishable permutations are there of the letters in the word "CINCINNATI" ?
3,628,800
16,800
50,400
453,600
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