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

This math topic focuses on probability and combinatorics, specifically calculating the number of ways a set of four cards, with one card repeating, can be arranged in order from smallest to largest. These problems encourage practicing and understanding factorials, a fundamental concept within the broader study of probability and statistics. Each question provides a multiple-choice format to select the correct arrangement count, enhancing learning of permutation concepts where repetition is involved.

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

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

Math worksheet on 'Probability Counting - Duplicate Orders in 4 Cards, 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 cards be arranged to still be arranged smallest to largest?

a

24

b

12

c

36

d

120

e

6

2

How many ways can these cards be arranged to still be arranged smallest to largest?

a

36

b

12

c

24

d

120

e

6

3

How many ways can these cards be arranged to still be arranged smallest to largest?

a

36

b

6

c

24

d

120

e

12

4

How many ways can these cards be arranged to still be arranged smallest to largest?

a

4

b

6

c

2

d

12

e

24

5

How many ways can these cards be arranged to still be arranged smallest to largest?

a

6

b

120

c

12

d

36

e

24

6

How many ways can these cards be arranged to still be arranged smallest to largest?

a

4

b

2

c

6

d

12

e

24

7

How many ways can these cards be arranged to still be arranged smallest to largest?

a

12

b

36

c

24

d

120

e

6