Ways to Order 3 Letters, 1 Repeat - to Factorial Equation (Level 1)

This math topic focuses on calculating the number of distinct ways to order letter tiles, with at least one repeated letter. The problems require the use of factorial equations to determine permutations considering repetitions. Each problem presents multiple choices which include different factorial expressions for students to evaluate, thereby reinforcing their understanding of factorial concepts and permutation calculations within probability and statistics. This topic is beneficial for practicing skills in probability distributions and combinations.

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

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Probability Counting - Ways to Order 3 Letters, 1 Repeat - to Factorial Equation Worksheet

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Probability Counting - Ways to Order 3 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 3! over 2!
b A LaTex expression showing 3! over 2! times 2!
c A LaTex expression showing 3! over 3!
d A LaTex expression showing 3! over 3! times 0!
e A LaTex expression showing 4! over 2!
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 3! over 4!
b A LaTex expression showing 3! over 2!
c A LaTex expression showing 5! over 2! times 2!
d A LaTex expression showing 3! over 3! times 0!
e A LaTex expression showing 3! over 3!
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 3! over 2! times 3!
b A LaTex expression showing 3! over 2! times 2!
c A LaTex expression showing 3! over 2!
d A LaTex expression showing 3! over 3! times 0!
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 2! times 2!
b A LaTex expression showing 4! over 2!
c A LaTex expression showing 3! over 3! times 0!
d A LaTex expression showing 3! over 4!
e A LaTex expression showing 3! over 2!
f A LaTex expression showing 5! over 2!
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 3! over 4!
b A LaTex expression showing 3! over 3! times 0!
c A LaTex expression showing 3! over 2! times 2!
d 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 3! over 2!
b A LaTex expression showing 5! over 2!
c A LaTex expression showing 3! over 4!
d A LaTex expression showing 3! over 3! times 0!
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 2!
b A LaTex expression showing 3! over 3! times 0!
c A LaTex expression showing 3! over 3!
d A LaTex expression showing 3! over 2!
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 3! over 3! times 0!
b A LaTex expression showing 3! over 4!
c A LaTex expression showing 3! over 3!
d A LaTex expression showing 3! over 2!