Ways to Order 4 Letters, 0 Repeats - to Factorial Equation (Level 1)

This math topic focuses on calculating the number of distinct ways to order a set of 4 letters without repetition, using factorial notation. Each question presents different scenarios where students must apply their understanding of factorials and permutations to determine the correct way to arrange these letters and express the solution in factorial terms. This set of problems is designed to enhance students' skills in counting, probability, and understanding factorial equations within the broader context of 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 4 Letters, 0 Repeats - to Factorial Equation Worksheet

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