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

This math topic focuses on calculating the number of distinct ways to order a set of letter tiles, specifically when some letters are repeated. Participants practice using factorial concepts and permutations to solve problems. They learn to represent their solutions in the form of multiplication expressions, often involving fractions where the numerator and denominator are products of factorials or numbers, representing different arrangements and repetitions. This topic is a part of a broader unit on probability and statistics emphasizing factorial practice.

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

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Ways to Order 5 Letters, 1 Repeat - to Equation

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


How many distinct ways can these letter tiles be ordered? Show as a multiplication.

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

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Math worksheet on 'Probability Counting - Ways to Order 5 Letters, 1 Repeat - to Equation (Level 1)'. Part of a broader unit on 'Probability and Statistics - Probability with Factorials Practice' Learn online: app.mobius.academy/math/units/probability_and_statistics_probability_with_factorials_practice/
1
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 over 3 times 2 times 2
b A LaTex expression showing 5 times 4 times 3 times 2 over 3 times 2 times 3 times 2
c A LaTex expression showing 7 times 6 times 5 times 4 times 3 times 2 over 3 times 2
d A LaTex expression showing 5 times 4 times 3 times 2 over 5 times 4 times 3 times 2 times 1
e A LaTex expression showing 5 times 4 times 3 times 2 over 4 times 3 times 2
f A LaTex expression showing 5 times 4 times 3 times 2 over 3 times 2
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 5 times 4 times 3 times 2 over 2 times 2
b A LaTex expression showing 3 times 2 over 2
c A LaTex expression showing 5 times 4 times 3 times 2 over 5 times 4 times 3 times 2 times 1
d A LaTex expression showing 4 times 3 times 2 over 2
e A LaTex expression showing 6 times 5 times 4 times 3 times 2 over 3 times 2 times 2
f A LaTex expression showing 5 times 4 times 3 times 2 over 2
3
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 over 3 times 2
b A LaTex expression showing 4 times 3 times 2 over 3 times 2
c A LaTex expression showing 5 times 4 times 3 times 2 over 5 times 4 times 3 times 2
d A LaTex expression showing 5 times 4 times 3 times 2 over 5 times 4 times 3 times 2 times 1
4
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 over 5 times 4 times 3 times 2 times 1
b A LaTex expression showing 5 times 4 times 3 times 2 over 2 times 2
c A LaTex expression showing 7 times 6 times 5 times 4 times 3 times 2 over 2 times 2
d A LaTex expression showing 5 times 4 times 3 times 2 over 2
e A LaTex expression showing 7 times 6 times 5 times 4 times 3 times 2 over 4 times 3 times 2 times 2
f A LaTex expression showing 4 times 3 times 2 over 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 over 5 times 4 times 3 times 2
b A LaTex expression showing 5 times 4 times 3 times 2 over 4 times 3 times 2
c A LaTex expression showing 3 times 2 over 3 times 2
d A LaTex expression showing 5 times 4 times 3 times 2 over 3 times 2
e A LaTex expression showing 5 times 4 times 3 times 2 over 5 times 4 times 3 times 2 times 1
f A LaTex expression showing 5 times 4 times 3 times 2 over 3 times 2 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 5 times 4 times 3 times 2 over 5 times 4 times 3 times 2 times 1
b A LaTex expression showing 5 times 4 times 3 times 2 over 3 times 2
c A LaTex expression showing 3 times 2 over 3 times 2
d A LaTex expression showing 5 times 4 times 3 times 2 over 3 times 2 times 3 times 2
e A LaTex expression showing 4 times 3 times 2 over 3 times 2
7
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 4 times 3 times 2 over 3 times 2
b A LaTex expression showing 5 times 4 times 3 times 2 over 4 times 3 times 2
c A LaTex expression showing 5 times 4 times 3 times 2 over 5 times 4 times 3 times 2 times 1
d A LaTex expression showing 5 times 4 times 3 times 2 over 3 times 2 times 2
e A LaTex expression showing 5 times 4 times 3 times 2 over 3 times 2
f A LaTex expression showing 7 times 6 times 5 times 4 times 3 times 2 over 2 times 3 times 2