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

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Probability Counting - Duplicate Orders in 4 Letters, 2 Repeats - to Equation
1
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 4 times 3 times 2
b A LaTex expression showing 2 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 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 '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 2 times 4 times 3 times 2
c A LaTex expression showing 2 times 2
d A LaTex expression showing 4 times 3 times 2 times 2
e A LaTex expression showing 2 over 2 times 2
f A LaTex expression showing 1 over 2 times 2
3
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 2 times 4 times 3 times 2
b A LaTex expression showing 2 times 2
c A LaTex expression showing 2 times 3 times 2
d A LaTex expression showing 2 over 2 times 2
e A LaTex expression showing 4 times 3 times 2 times 2
f A LaTex expression showing 1 over 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 2 times 2
b A LaTex expression showing 2 over 2 times 2
c A LaTex expression showing 2 times 3 times 2
d A LaTex expression showing 2 times 4 times 3 times 2
e A LaTex expression showing 3 times 2 times 2
f A LaTex expression showing 1 over 2 times 2