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

This math topic focuses on calculating permutations of words where some letters are repeated. Specifically, it asks students to determine the number of unique ways to order the letters of given words such as "BOBBY," "BUBBY," "MUMMY," "FOOLS," "GRASS," "APPLE," and "SASSY." Each problem presents a word with at least one repeated letter, and students must use understanding of factorials and arrangement rules for sets with duplicates to solve the questions. The topic is part of a broader unit on probability and statistics involving factorial practice.

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 Answer Worksheet

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Probability Counting - Duplicate Orders in 5 Letters, 1 Repeat - to Answer
1
An svg image showing a math problem
How many ways can these letter tiles be ordered to spell 'SPILL'?
a
4
b
6
c
12
d
2
e
24
2
An svg image showing a math problem
How many ways can these letter tiles be ordered to spell 'APPLE'?
a
4
b
12
c
6
d
2
e
24
3
An svg image showing a math problem
How many ways can these letter tiles be ordered to spell 'TOTEM'?
a
4
b
6
c
24
d
12
e
2
4
An svg image showing a math problem
How many ways can these letter tiles be ordered to spell 'BOBBY'?
a
24
b
6
c
12
d
36
e
120
5
An svg image showing a math problem
How many ways can these letter tiles be ordered to spell 'SASSY'?
a
24
b
120
c
12
d
36
e
6
6
An svg image showing a math problem
How many ways can these letter tiles be ordered to spell 'BUBBY'?
a
36
b
120
c
12
d
6
e
24
7
An svg image showing a math problem
How many ways can these letter tiles be ordered to spell 'MUMMY'?
a
24
b
120
c
12
d
36
e
6
8
An svg image showing a math problem
How many ways can these letter tiles be ordered to spell 'GRASS'?
a
4
b
6
c
24
d
2
e
12