Understanding Symmetric Groups
Interactive Video
•
Mathematics
•
11th - 12th Grade
•
Practice Problem
•
Hard
Jennifer Brown
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the 'n' in S_n represent in the context of symmetric groups?
The number of permutations
The number of elements in the group
The factorial of the set size
The size of the set being permuted
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How many permutations are there in the symmetric group S3?
9
12
6
3
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the context of symmetric groups, what is a permutation considered as?
A scalar
A function
A vector
A matrix
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the group operation in S3?
Matrix multiplication
Addition
Subtraction
Function composition
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the order of the symmetric group S4?
32
12
16
24
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the compact notation for permutations used for?
To eliminate the need for permutations
To convert permutations into matrices
To increase the complexity of permutations
To simplify the representation of permutations
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a key characteristic of symmetric groups S4 and higher?
They are subgroups of S3
They are commutative
They are non-abelian
They have infinite elements
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