Counting Principle And Permutation Quiz
10 Questions
| Attempts: 1897
Prepare yourself to take this counting principle and permutation quiz. The Fundamental Counting Principle says that if one event has 'k' possible outcomes and another event has 'n' possible outcomes, then there have to be "k ⋅ n" total possible outcomes for those two events together. A permutation is known as an arrangement of objects in a definite order. Attempt these questions to test and enhance your skills even more. Good luck!
Questions and Answers
- 1.How many ways can 10 students win a race?
- A.
2
- B.
5
- C.
10
- D.
13
- 2.How many ways can I arrange 5 books?
- A.
5 ways
- B.
10 ways
- C.
120 ways
- D.
150 ways
- 3.I can choose a red, blue, or green T-shirt, with a skirt or pants, a black, white, or green hijab, with or without a jacket. How many different choices do I have?
- A.
3 x 2 x 3 x 2
- B.
3 x 1 x 2 x 3
- C.
3 x 3x 0 x 1
- D.
4 x 9 x 5x 3
- 4.How many ways can we arrange 7 people sitting on 3 chairs?
- A.
112
- B.
157
- C.
173
- D.
210
- 5.How many ways can I arrange the letters of the word FLORIDA?
- A.
5010
- B.
5020
- C.
5040
- D.
5060
- 6.How many different license plates are possible if the first two places are numbers and the last two are letters, with repeating numbers or letters?
- A.
92942
- B.
29823
- C.
57291
- D.
67600
- 7.Evaluate P(5,3)
- A.
20
- B.
60
- C.
57
- D.
82
- 8.A briefcase lock has 3 rotating cylinders, each containing 10 digits. How many numerical codes are possible?
- A.
10
- B.
30
- C.
1000
- D.
1200
- 9.From 15 entries in an art contest, a camp counselor chooses first, second, and third place winners. How many choices can be made?
- A.
2730
- B.
15
- C.
45
- D.
8210
- 10.How many 6-character passwords can be formed if the first character is a digit and the remaining 5 characters are letters that can be repeated?
- A.
10x26x25x24x23x22
- B.
10x26x26x26x26x26
- C.
10x26!
- D.
260
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