Probability Counting - Duplicate Orders in 5 Letters, 2 Repeats - to Answer (Level 1)

This math topic focuses on calculating the number of ways to arrange letter tiles to form specific words with repeated letters. It involves understanding and applying concepts from probability and statistics, specifically relating to permutations of elements where repetition occurs. These problems are an introduction to binomial notation in probability, requiring students to consider how multiple occurrences of the same letter affect the total arrangement possibilities. Each problem provides multiple answer choices, asking students to select the correct number of unique arrangements for words like "MAMMA," "PAPPA," "DADDA," "VIVID," and "LEVEL."

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

Probability Counting - Duplicate Orders in 5 Letters, 2 Repeats - to Answer Worksheet

Math worksheet on 'Probability Counting - Duplicate Orders in 5 Letters, 2 Repeats - to Answer (Level 1)'. Part of a broader unit on 'Probability and Statistics - Binomial Notation Intro' Learn online: app.mobius.academy/math/units/probability_and_statistics_probability_with_binomial_notation_intro/

1

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

a

12

b

48

c

4

2

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

a

12

b

36

c

144

d

48

e

240

3

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

a

48

b

240

c

36

d

144

e

12

4

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

a

48

b

144

c

240

d

36

e

12

5

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

a

4

b

48

c

12

6

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

a

12

b

36

c

144

d

240

e

48

7

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

a

12

b

48

c

4