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Number Of Outcomes
Test Description: Fundamental Counting Principle, Factorials, Permutations, and Combinations
Instructions: Answer all questions to get your test result.
1) The Pizza Shop offers 3 types of crust, 2 types of cheese, and 8 toppings. How many outcomes are there for a one topping pizza (one crust, one cheese, and one topping)?
A
14
B
13
C
48
D
6.2 x 10^9
2) How many ways are there to answer 4 true and false questions?
A
24
B
16
C
12
D
8
3) If ten people are in a race, how manhy ways can you choose the first, second, third, and fourth place finishers?
A
24
B
210
C
40
D
5040
4) How many ways can Jenny arrange 4 dolls in her doll house?
A
4
B
24
C
16
D
12
5) There are 6 finalist on American Idol. How many ways can the judges reduce the group to 3 contestants for the next round?
A
120
B
18
C
6
D
20
6) How many 3 digit locker combinations can be created using the numbers 0-20 if each number can be used more than once?
A
6840
B
9261
C
8000
D
7980
7) How many ways can 6 students sign out when leaving the library?
A
36
B
16
C
120
D
720
8) Mr. White gave his students a study guide with 15 questions. How many different ways can he choose 10 questions for the test?
A
1.089 x 10^10
B
3003
C
150
D
3662880
9) Three students are to be choosen from the group of six to fill the positions of president, vice president, and secretary. In how many ways can this be accomplished?
A
120
B
9
C
18
D
20
10) How many 3 digit numbers can be created using the digits 0-9, if the first digit must be a perfect square and each digit can only be used once?
A
1000
B
216
C
168
D
729
*select an answer for all questions
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