Probability Counting - Duplicate Orders in 5 Cards, 1 Repeat - to Equation (Level 1)

This math topic explores the calculation of permutations involving a set of 5 cards, where one card is repeated. It challenges students to determine the different ways these cards can be arranged in ascending order. Each question presents a different configuration of cards, requiring the student to express the number of possible arrangements multiplicatively. The broader focus of these problems is to deepen understanding of probabilistic thinking and factorial operations within the context of statistics.

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

Probability Counting - Duplicate Orders in 5 Cards, 1 Repeat - to Equation Worksheet

Math worksheet on 'Probability Counting - Duplicate Orders in 5 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.

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b

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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