Ways to Order 3 Letters, 0 Repeats - to Equation (Level 1)

This math topic focuses on permutations and combinations, specifically dealing with the probability of ordering a set of 3 letters without any repeats. Each question asks how many distinct ways the letter tiles can be arranged, and students are required to express their answers as multiplication equations. This involves students demonstrating understanding of factorial calculations and permutation formulas to solve the problems. The topic is a fundamental exercise in understanding and applying principles from probability and permutations within the broader area 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 3 Letters, 0 Repeats - to Equation Worksheet

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