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QUIZ - Permutation/Combinations/Counting Principle
Authored by Brian Frasure
Mathematics
9th - 12th Grade
CCSS covered
Used 12+ times
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15 questions
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1.
MULTIPLE CHOICE QUESTION
15 mins • 2 pts
How many license plates consisting of three letters followed by three numbers are possible when repetition is NOT allowed?
26 x 25 x 24 x 10 x 9 x 8
26 x 26 x 26 x 10 x 10 x 10
26 x 25 x 24 x 9 x 8 x 7
26 x 26 x 26 x 9 x 9 x 9
26! x 10!
2.
MULTIPLE CHOICE QUESTION
15 mins • 2 pts
How many license plate numbers consisting of three letters followed by three numbers are possible when repetition is allowed?
26 x 26 x 26 x 10 x 10 x 10
26 x 25 x 24 x 10 x 9 x 8
26 x 26 x 26 x 9 x 9 x 9
26 x 25 x 24 x 9 x 8 x 7
26! x
3.
MULTIPLE CHOICE QUESTION
15 mins • 2 pts
In how many different ways can 4 different books be arranged on the shelf?
4!
4 x 4 x 4 x 4
4 + 3 + 2 + 1
4 + 4 + 4 + 4
4
4.
MULTIPLE CHOICE QUESTION
15 mins • 2 pts
A book club lets people order any 8 books from a list of 40.
How many different groups of 8 books can members choose?
40P8
40C8
40! x 8!
8 x 40
40 x 39 x 38 x 37 x 36 x 35 x 34 x 33
5.
MULTIPLE CHOICE QUESTION
15 mins • 2 pts
How many ways can you choose 5 drinks out of 10 drinks and 7 snacks out of 13 snacks to pack a bag for a trip?
10C5 x 13C7
10P5 x 13P7
5 x 10 x 7 x 13
5! x 7!
10! x 13!
6.
MULTIPLE CHOICE QUESTION
15 mins • 2 pts
How many 5-card hands contain 3 spades?
52C3
13C3 x 39C2
13C3 x 52C2
13C3
5C3
7.
MULTIPLE CHOICE QUESTION
15 mins • 2 pts
How many 5-card hands contain 2 red cards?
26C2 x 26C3
52C2
26C2
26C2 x 52C3
52C2 x 52C3
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