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Probability Counting - Ways to Order 5 Letters, 2 Repeat - to Equation (Level 1)

This math topic focuses on computing the number of distinct ways to order sets of letter tiles, some of which may be repeated. It encourages students to use mathematical expressions to solve permutations and combinations, particularly through the application of factorial calculations often expressed in fraction form. This section introduces students to the fundamentals of probability using combinatorics and factorial notation within the larger context of probability and statistics, specifically introducing binomial notation. Each problem provides an image representing different letter arrangements and multiple-choice answers in the form of mathematical expressions.

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

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Ways to Order 5 Letters, 2 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, 2 Repeat - to Equation Worksheet

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