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Probability Counting - Duplicate Orders in 4 Letters, 2 Repeats - to Factorial Equation (Level 1)

This math topic covers permutations involving repeating elements, focusing on calculating the number of ways to arrange four-letter sequences with two repeating letters using factorial equations. It delves into practical examples like arranging the letters in words such as "COCO," "NOON," "MAMA," and "PEEP." Each question requires students to express the arrangements as factorial expressions and provides multiple answer choices, reinforcing understanding of the factorial concepts and permutation calculations in probability and statistics.

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

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Duplicate Orders in 4 Letters, 2 Repeats - to Factorial Equation

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How many ways can these letter tiles be ordered to spell 'PEEP'? Show as a factorial.

PEEP

Probability Counting - Duplicate Orders in 4 Letters, 2 Repeats - to Factorial Equation Worksheet

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Math worksheet on 'Probability Counting - Duplicate Orders in 4 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 ways can these letter tiles be ordered to spell 'NOON'? Show as a factorial.
a A LaTex expression showing 2! over 2! times 2!
b A LaTex expression showing 2! times 4!
c A LaTex expression showing 1 over 2! times 2!
d A LaTex expression showing 3! times 2!
e A LaTex expression showing 4! times 2!
f A LaTex expression showing 2! times 2!
2
An svg image showing a math problem
How many ways can these letter tiles be ordered to spell 'PEEP'? Show as a factorial.
a A LaTex expression showing 4! times 2!
b A LaTex expression showing 1 over 2! times 2!
c A LaTex expression showing 2! over 2! times 2!
d A LaTex expression showing 2! times 3!
e A LaTex expression showing 2! times 2!
f A LaTex expression showing 2! times 4!
3
An svg image showing a math problem
How many ways can these letter tiles be ordered to spell 'MAMA'? Show as a factorial.
a A LaTex expression showing 2! times 4!
b A LaTex expression showing 3! times 2!
c A LaTex expression showing 2! over 2! times 2!
d A LaTex expression showing 1 over 2! times 2!
e A LaTex expression showing 2! times 3!
f A LaTex expression showing 2! times 2!
4
An svg image showing a math problem
How many ways can these letter tiles be ordered to spell 'COCO'? Show as a factorial.
a A LaTex expression showing 2! times 3!
b A LaTex expression showing 4! times 2!
c A LaTex expression showing 2! over 2! times 2!
d A LaTex expression showing 2! times 2!
e A LaTex expression showing 1 over 2! times 2!
f A LaTex expression showing 2! times 4!