Probability Counting - Duplicate Orders in 3 Letters, 1 Repeat - to Answer (Level 1)

This math topic focuses on probability problems involving the counting of permutations of three-letter words or names with one repeated letter. The main skill practiced is calculating the number of distinct ways to arrange the letters, taking into account the repetition of one letter, which relates to the basic concepts of factorials used in probability and statistics. Examples include arranging the letters in words like "POP," "ALL," "INN," "NON," "APP," "BOB," and "OFF," requiring an understanding of how repeats affect the total permutations.

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

Probability Counting - Duplicate Orders in 3 Letters, 1 Repeat - to Answer Worksheet

Math worksheet on 'Probability Counting - Duplicate Orders in 3 Letters, 1 Repeat - to Answer (Level 1)'. Part of a broader unit on 'Probability and Statistics - Probability with Factorials Intro' Learn online: app.mobius.academy/math/units/probability_and_statistics_probability_with_factorials_intro/

1

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

a

6

b

12

c

24

d

2

e

4

2

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

a

4

b

24

c

2

d

6

e

12

3

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

a

24

b

6

c

4

d

2

e

12

4

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

a

12

b

24

c

6

d

4

e

2

5

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

a

24

b

2

c

4

d

6

e

12

6

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

a

4

b

2

c

12

d

24

e

6