
Inclusion-Exclusion Principle in Permutations

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard

Sophia Harris
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main problem discussed in the video?
Finding permutations with no elements fixed
Finding permutations with two elements fixed
Finding permutations with all elements fixed
Finding permutations with exactly one element fixed
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in solving the problem?
Subtracting non-derangements
Finding the number of permutations of all elements
Selecting one element to be fixed
Calculating the factorial of six
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do we calculate the number of derangements for the remaining elements?
By finding the factorial of the remaining elements
By multiplying the number of permutations
By adding the number of fixed elements
By using the principle of inclusion-exclusion
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of subtracting non-derangements with at least one element fixed?
To simplify the calculation
To adjust for overcounting in derangements
To ensure no elements are fixed
To find the total number of permutations
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of adding back non-derangements with at least two elements fixed?
It decreases the total permutations
It has no effect
It increases the total permutations
It corrects the over-subtraction
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why do we subtract non-derangements with at least three elements fixed?
To correct for over-addition
To simplify the calculation
To find the number of permutations
To ensure all elements are fixed
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of five choose four times one factorial in the calculation?
It represents the number of ways to fix two elements
It represents the number of ways to fix three elements
It represents the number of ways to fix four elements
It represents the number of ways to fix all elements
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