Duplicate Orders in 5 Letters, 1 Repeat - to Equation (Level 1)

This topic focuses on solving probability problems related to the number of distinct orders for spelling words with repeated letters. Students practice calculating permutations of letters where one or more letters repeat using factorial mathematics, expressed as multiplication problems. Each problem provides the name spelled with tiles, and the students must determine the various ways these can be arranged. Each problem generates multiple choice answers expressed in LaTeX format for evaluation. This is part of a broader unit on probability and statistics involving factorials.

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

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Probability Counting - Duplicate Orders in 5 Letters, 1 Repeat - to Equation Worksheet

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Probability Counting - Duplicate Orders in 5 Letters, 1 Repeat - to Equation
1
How many ways can these letter tiles be ordered to spell 'BOBBY'? Show as a multiplication.
An svg image showing a math problem
a A LaTex expression showing 2 over 3 times 2 times 1
b A LaTex expression showing 3 times 2 times 2
c A LaTex expression showing 4 times 3 times 2
d A LaTex expression showing 5 times 4 times 3 times 2
e A LaTex expression showing 3 times 2
f A LaTex expression showing 1 over 3 times 2 times 1
2
An svg image showing a math problem
How many ways can these letter tiles be ordered to spell 'GRASS'? Show as a multiplication.
a A LaTex expression showing 1 over 2 times 1
b A LaTex expression showing 2 times 3 times 2
c A LaTex expression showing 2 over 2 times 1
d A LaTex expression showing 2 times 2
e A LaTex expression showing 2
f A LaTex expression showing 3 times 2
3
An svg image showing a math problem
How many ways can these letter tiles be ordered to spell 'PIZZA'? Show as a multiplication.
a A LaTex expression showing 2 over 2 times 1
b A LaTex expression showing 3 times 2
c A LaTex expression showing 1 over 2 times 1
d A LaTex expression showing 2 times 2
e A LaTex expression showing 4 times 3 times 2
f A LaTex expression showing 2
4
An svg image showing a math problem
How many ways can these letter tiles be ordered to spell 'TOTEM'? Show as a multiplication.
a A LaTex expression showing 2 over 2 times 1
b A LaTex expression showing 3 times 2
c A LaTex expression showing 4 times 3 times 2
d A LaTex expression showing 1 over 2 times 1
e A LaTex expression showing 2
f A LaTex expression showing 2 times 2
5
An svg image showing a math problem
How many ways can these letter tiles be ordered to spell 'APPLE'? Show as a multiplication.
a A LaTex expression showing 3 times 2
b A LaTex expression showing 2 over 2 times 1
c A LaTex expression showing 2
d A LaTex expression showing 4 times 3 times 2
e A LaTex expression showing 2 times 3 times 2
f A LaTex expression showing 1 over 2 times 1
6
How many ways can these letter tiles be ordered to spell 'BUBBY'? Show as a multiplication.
An svg image showing a math problem
a A LaTex expression showing 5 times 4 times 3 times 2
b A LaTex expression showing 3 times 2 times 2
c A LaTex expression showing 1 over 3 times 2 times 1
d A LaTex expression showing 2 over 3 times 2 times 1
e A LaTex expression showing 3 times 2
f A LaTex expression showing 3 times 2 times 3 times 2
7
How many ways can these letter tiles be ordered to spell 'SASSY'? Show as a multiplication.
An svg image showing a math problem
a A LaTex expression showing 2 over 3 times 2 times 1
b A LaTex expression showing 3 times 2 times 2
c A LaTex expression showing 4 times 3 times 2
d A LaTex expression showing 3 times 2 times 3 times 2
e A LaTex expression showing 1 over 3 times 2 times 1
f A LaTex expression showing 3 times 2
8
An svg image showing a math problem
How many ways can these letter tiles be ordered to spell 'FOOLS'? Show as a multiplication.
a A LaTex expression showing 2 times 3 times 2
b A LaTex expression showing 4 times 3 times 2
c A LaTex expression showing 2 over 2 times 1
d A LaTex expression showing 2 times 2
e A LaTex expression showing 2
f A LaTex expression showing 1 over 2 times 1