Ways to Order 5 Letters, 1 Repeat - to Factorial Equation (Level 1)

The topic focuses on calculating the number of distinct ways to order a set of 5 letters, with scenarios including repeated letters, using factorial equations. It is designed to enhance skills in determining permutations where identical items are present in different quantities. Each problem requires expressing permutations as a quotient of factorial expressions, emphasizing factorial use in probability and statistics.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Probability Counting - Ways to Order 5 Letters, 1 Repeat - to Factorial Equation Worksheet

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Probability Counting - Ways to Order 5 Letters, 1 Repeat - to Factorial Equation
1
An svg image showing a math problem
How many distinct ways can these letter tiles be ordered? Show as a factorial.
a A LaTex expression showing 6! over 3!
b A LaTex expression showing 5! over 3!
c A LaTex expression showing 4! over 3!
d A LaTex expression showing 5! over 5! times 0!
e A LaTex expression showing 5! over 4!
2
An svg image showing a math problem
How many distinct ways can these letter tiles be ordered? Show as a factorial.
a A LaTex expression showing 4! over 2!
b A LaTex expression showing 5! over 2! times 2!
c A LaTex expression showing 5! over 3!
d A LaTex expression showing 5! over 2!
e A LaTex expression showing 3! over 2!
f A LaTex expression showing 5! over 5! times 0!
3
An svg image showing a math problem
How many distinct ways can these letter tiles be ordered? Show as a factorial.
a A LaTex expression showing 5! over 2!
b A LaTex expression showing 5! over 3!
c A LaTex expression showing 5! over 5! times 0!
d A LaTex expression showing 4! over 2!
e A LaTex expression showing 5! over 4!
4
An svg image showing a math problem
How many distinct ways can these letter tiles be ordered? Show as a factorial.
a A LaTex expression showing 5! over 3! times 3!
b A LaTex expression showing 5! over 5!
c A LaTex expression showing 5! over 5! times 0!
d A LaTex expression showing 5! over 3!
e A LaTex expression showing 4! over 3!
5
An svg image showing a math problem
How many distinct ways can these letter tiles be ordered? Show as a factorial.
a A LaTex expression showing 4! over 2!
b A LaTex expression showing 5! over 2!
c A LaTex expression showing 5! over 2! times 3!
d A LaTex expression showing 5! over 5! times 0!
e A LaTex expression showing 5! over 3!
f A LaTex expression showing 3! over 2!
6
An svg image showing a math problem
How many distinct ways can these letter tiles be ordered? Show as a factorial.
a A LaTex expression showing 5! over 5! times 0!
b A LaTex expression showing 5! over 3!
c A LaTex expression showing 7! over 3!
d A LaTex expression showing 5! over 4!
e A LaTex expression showing 4! over 3!
f A LaTex expression showing 5! over 5!
7
An svg image showing a math problem
How many distinct ways can these letter tiles be ordered? Show as a factorial.
a A LaTex expression showing 5! over 5!
b A LaTex expression showing 5! over 2! times 3!
c A LaTex expression showing 7! over 3!
d A LaTex expression showing 5! over 5! times 0!
e A LaTex expression showing 5! over 3!
8
An svg image showing a math problem
How many distinct ways can these letter tiles be ordered? Show as a factorial.
a A LaTex expression showing 5! over 2! times 3!
b A LaTex expression showing 5! over 2! times 2!
c A LaTex expression showing 5! over 5! times 0!
d A LaTex expression showing 5! over 2!
e A LaTex expression showing 4! over 2!