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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
6.2 x 10^9
B
13
C
14
D
48
2) How many ways are there to answer 4 true and false questions?
A
12
B
24
C
16
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
40
B
5040
C
24
D
210
4) How many ways can Jenny arrange 4 dolls in her doll house?
A
16
B
24
C
12
D
4
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
6
B
120
C
20
D
18
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
7980
B
9261
C
6840
D
8000
7) How many ways can 6 students sign out when leaving the library?
A
36
B
16
C
720
D
120
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
3003
B
150
C
3662880
D
1.089 x 10^10
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
20
B
9
C
18
D
120
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
216
B
729
C
1000
D
168
*select an answer for all questions
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