Ways to Order 5 Letters, 0 Repeats - to Factorial Equation (Level 1)

This math topic focuses on understanding how to calculate the number of distinct ways to order sets of letter tiles, where each set consists of five or more tiles with no repetitions allowed. The problems require converting the solutions into factorial expressions. This practice falls within a broader unit on counting and probability, aiming to strengthen skills in factorials and permutations—key concepts 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, 0 Repeats - to Factorial Equation Worksheet

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Probability Counting - Ways to Order 5 Letters, 0 Repeats - 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 5! over 5! times 0!
b A LaTex expression showing 5!
c A LaTex expression showing 5! over 1! times 3!
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 5! over 5! times 0!
b A LaTex expression showing 5! over 1! times 3!
c A LaTex expression showing 4!
d A LaTex expression showing 5!
e A LaTex expression showing 5! over 2!
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 4!
c A LaTex expression showing 5! over 1! times 3!
d A LaTex expression showing 5!
e A LaTex expression showing 5! over 5! times 0!
f A LaTex expression showing 6!
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!
b A LaTex expression showing 5! over 5! times 0!
c A LaTex expression showing 5! over 1! times 2!
d A LaTex expression showing 4!
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 5! over 2!
b A LaTex expression showing 4!
c A LaTex expression showing 5! over 1! times 3!
d A LaTex expression showing 5!
e A LaTex expression showing 5! over 5! times 0!
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 1! times 2!
c A LaTex expression showing 6! over 2!
d A LaTex expression showing 5!
e A LaTex expression showing 3!
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 7! over 3!
b A LaTex expression showing 7!
c A LaTex expression showing 5! over 5! times 0!
d A LaTex expression showing 3!
e A LaTex expression showing 5!
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 7! over 4!
b A LaTex expression showing 6! over 2!
c A LaTex expression showing 5!
d A LaTex expression showing 5! over 5! times 0!
e A LaTex expression showing 5! over 2!
f A LaTex expression showing 7!