How many choices are there for each digit when repetition is allowed?

Understanding Permutations and Combinations with Digits

Interactive Video
•
Mathematics
•
7th - 10th Grade
•
Hard

Olivia Brooks
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
5
6
7
8
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the total number of five-digit numbers possible when digits can be repeated?
20,000
18,000
15,625
16,807
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which principle is used to calculate the number of five-digit numbers when repetition is allowed?
Divisive Principle
Additive Principle
Multiplicative Principle
Subtractive Principle
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What mathematical concept is used when digits cannot be repeated and order matters?
Division
Multiplication
Permutation
Combination
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How many five-digit numbers can be formed when digits cannot be repeated and order matters?
2,000
2,700
3,000
2,520
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the formula for calculating permutations when selecting 5 digits from 7?
7 factorial divided by 7 minus 5 factorial
5 factorial divided by 2 factorial
7 factorial divided by 2 factorial
7 factorial divided by 5 factorial
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When digits cannot be repeated and must be in increasing order, which mathematical concept is used?
Multiplication
Combination
Permutation
Division
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