Probability Counting - Ways to Order 4 Letters, 2 Repeats - to Answer (Level 1)

This math topic explores the concept of probability, specifically focusing on calculating the number of distinct ways to order sets of four letter tiles, with some repetitions. It introduces students to foundational principles of permutations, which are part of a broader unit on Probability and Statistics with an introduction to Binomial Notation. Each question challenges students to consider various combinations, reinforcing their understanding of factorial calculations and how to handle repetitions in sets of items. This approach integrates basic elements of probability with practical applications, promoting problem-solving skills in combinatorial contexts.

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

Probability Counting - Ways to Order 4 Letters, 2 Repeats - to Answer Worksheet

Math worksheet on 'Probability Counting - Ways to Order 4 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 distinct ways can these letter tiles be ordered?

a

15

b

6

c

20

d

0

e

17

f

12

2

How many distinct ways can these letter tiles be ordered?

a

0

b

3

c

6

d

2

e

20

f

19

3

How many distinct ways can these letter tiles be ordered?

a

2

b

6

c

0

4

How many distinct ways can these letter tiles be ordered?

a

6

b

5

c

13

d

0

e

2

f

21

5

How many distinct ways can these letter tiles be ordered?

a

18

b

2

c

6

d

0

e

21

f

15

6

How many distinct ways can these letter tiles be ordered?

a

2

b

6

c

13

d

15

e

7

f

0

7

How many distinct ways can these letter tiles be ordered?

a

0

b

2

c

20

d

3

e

6

f

11