Circular and Linear Permutations
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Thomas White
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How many ways can three people be arranged in a row?
3
6
12
9
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the factorial representation of arranging three people in a row?
1!
4!
2!
3!
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a circular arrangement of three people, how many unique arrangements are there?
2
6
1
3
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why do circular permutations have fewer unique arrangements than linear permutations?
Because the circle is smaller
Because rotations create identical arrangements
Because fewer people are involved
Because it is harder to calculate
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the formula for circular permutations of n people?
n/2
(n+1)!
(n-1)!
n!
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When arranging a bracelet, why do we divide by 2?
To reduce the number of permutations
To account for different colors
To make the calculation easier
To account for clockwise and anticlockwise being the same
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a circular arrangement of four people, how many unique arrangements are there?
6
12
2
24
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