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

This math topic focuses on calculating the number of distinct ways to order a set of five letter tiles, which include repeated letters. It teaches students to express their answers in terms of factorials, applying principles from probability and statistics. The problems involve different configurations of letters with varying repetition patterns, requiring students to use permutations and factorial equations as part of their binomial notation unit. Each question provides multiple-answer choices expressed in factorial terms, reflecting different scenarios of letter arrangement.

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 Repeats - to Factorial Equation

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

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Probability Counting - Ways to Order 5 Letters, 2 Repeats - to Factorial Equation Worksheet

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