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

This topic focuses on exploring the probabilities of different arrangements of 4 cards, which may include repetitions. Specifically, it teaches how to calculate the number of possible orders for cards to be arranged from smallest to largest using combinatorial methods, expressed through multiplication expressions and factorials. The skills practiced are part of a wider unit on probability and statistics, emphasizing factorial calculations in different scenarios. These problems aim to strengthen understanding of fundamental probability concepts and factorial applications in a practical and theoretical manner.

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 Equation Worksheet

Math worksheet on 'Probability Counting - Duplicate Orders in 4 Cards, 1 Repeat - to Equation (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? Show as a multiplication.

a

b

c

d

e

f

2

How many ways can these cards be arranged to still be arranged smallest to largest? Show as a multiplication.

a

b

c

d

e

f

3

How many ways can these cards be arranged to still be arranged smallest to largest? Show as a multiplication.

a

b

c

d

e

f

4

How many ways can these cards be arranged to still be arranged smallest to largest? Show as a multiplication.

a

b

c

d

e

f

5

How many ways can these cards be arranged to still be arranged smallest to largest? Show as a multiplication.

a

b

c

d

e

f

6

How many ways can these cards be arranged to still be arranged smallest to largest? Show as a multiplication.

a

b

c

d

e

f

7

How many ways can these cards be arranged to still be arranged smallest to largest? Show as a multiplication.

a

b

c

d

e

f