What is the main difference between selecting and arranging letters in combinatorics?

Combinatorics: Selecting and Arranging Letters

Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard

Ethan Morris
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Arranging involves order, selecting does not.
Selecting involves order, arranging does not.
Both involve order.
Neither involves order.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is dividing by two not a useful approach when dealing with repeated letters?
It results in a non-integer value.
It simplifies the problem too much.
It only works for even numbers.
It is not applicable to permutations.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How many different letters are available for selection when ignoring the 'A's in 'algebra'?
Seven
Six
Five
Four
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When selecting letters without caring about order, which method is used?
Permutation
Combination
Division
Factorial
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How many ways can you select three letters from 'algebra' if you choose to use no 'A's?
20
15
10
5
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the total number of ways to select three letters from 'algebra' when order does not matter?
15
30
20
25
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the permutation formula used when order matters in arranging letters?
nCr
n^r
nPr
n!
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