Probability Counting - Duplicate Orders in 4 Letters, 1 Repeat - to Answer (Level 1)

This math topic focuses on practicing probability by calculating permutations of four-letter words with one letter repeating. Students are asked to determine the number of possible orders for the letters of given words such as "FOOT," "TATT," "BUBB," "PUPP," "MUMM," "TENT," and "SASS." Each problem requires understanding and applying factorial calculations to account for duplicate letters, which is a foundational concept within probability and statistics. This collection of problems helps students improve their ability to handle permutations involving repetitions.

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

Probability Counting - Duplicate Orders in 4 Letters, 1 Repeat - to Answer Worksheet

Math worksheet on 'Probability Counting - Duplicate Orders in 4 Letters, 1 Repeat - to Answer (Level 1)'. Part of a broader unit on 'Probability and Statistics - Probability with Factorials Practice' Learn online: app.mobius.academy/math/units/probability_and_statistics_probability_with_factorials_practice/

1

How many ways can these letter tiles be ordered to spell 'BUBB'?

a

120

b

36

c

12

d

24

e

6

2

How many ways can these letter tiles be ordered to spell 'PREP'?

a

2

b

24

c

12

d

6

e

4

3

How many ways can these letter tiles be ordered to spell 'FEET'?

a

24

b

2

c

4

d

12

e

6

4

How many ways can these letter tiles be ordered to spell 'PUPP'?

a

36

b

24

c

6

d

120

e

12

5

How many ways can these letter tiles be ordered to spell 'MUMM'?

a

6

b

24

c

120

d

12

e

36

6

How many ways can these letter tiles be ordered to spell 'FOOT'?

a

2

b

4

c

12

d

24

e

6

7

How many ways can these letter tiles be ordered to spell 'TENT'?

a

24

b

12

c

4

d

6

e

2