
Understanding Permutations and Combinations
Interactive Video
•
Mathematics
•
7th - 10th Grade
•
Practice Problem
•
Hard
Liam Anderson
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main difference between a permutation and a combination?
Permutations allow repetition, combinations do not.
Combinations consider order, permutations do not.
Permutations consider order, combinations do not.
Combinations allow repetition, permutations do not.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How many ways can five children line up to use a swing if each gets one turn?
720
60
120
24
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which formula is used to calculate permutations?
r! / n!
n! / (n-r)!
n! / r!
(n-r)! / n!
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Tony has 14 books and wants to read 4 in a specific order. How many ways can he choose?
5,040
14,400
24,024
1,680
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the context of permutations, what does 'n' represent?
The number of items to choose from
The number of repetitions allowed
The number of items to choose
The factorial of the number of items
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How many ways can four positions be filled from 11 students in a council?
5,040
7,920
3,024
11,440
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is repetition not allowed in the student council example?
Because each position must be unique
Because the positions are not important
Because each student can hold multiple positions
Because the students are identical
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