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

This math topic focuses on probability concepts related to the arrangement of cards, specifically calculating the number of ways cards with duplicate values can be arranged in order from smallest to largest. It introduces probability through a practical context of arranging elements and is an introductory lesson to binomial notation within the field of probability and statistics. Several multiple-choice questions challenge learners to calculate the specific number of possible arrangements for given sets of cards. This is exemplified in a structured query asking how the cards can remain arranged in ascending order despite duplicates.

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

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

Math worksheet on 'Probability Counting - Duplicate Orders in 5 Cards, 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 cards be arranged to still be arranged smallest to largest?

a

12

b

4

c

48

2

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

a

12

b

36

c

144

d

48

e

240

3

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

a

48

b

12

c

4

4

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

a

240

b

144

c

36

d

48

e

12

5

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

a

240

b

144

c

12

d

36

e

48

6

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

a

36

b

240

c

144

d

48

e

12

7

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

a

48

b

12

c

4