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

The math topic focuses on calculating the number of ways to arrange four-letter words with repeated letters using multiplication. It introduces the binomial notation as part of understanding probability. Problems include finding arrangements for words like "NOON," "PEEP," "MAMA," and "COCO," where students must recognize and apply the fundamental principles of counting and arrangement with respect to identical items in permutation contexts. This skill is foundational for understanding more complex probability and statistics concepts.

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 Equation

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


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

NOON

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

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