Probability Counting - Ways to Order 4 Letters, 1 Repeat - to Factorial Equation (Level 1)

This math topic focuses on calculating the number of distinct ways to arrange letter tiles, considering repetitions and representing the solutions using factorial expressions. Questions require applying the concepts of permutations and combinations, particularly using factorial notation to express arrangements when some letters repeat. Skills practiced include understanding factorial formulas and manipulating them to account for repeated items in different arrangements. This forms part of a broader study on probability and statistics involving factorials.

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

Probability Counting - Ways to Order 4 Letters, 1 Repeat - to Factorial Equation Worksheet

Math worksheet on 'Probability Counting - Ways to Order 4 Letters, 1 Repeat - to Factorial 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 distinct ways can these letter tiles be ordered? Show as a factorial.

a

b

c

d

e

f

2

How many distinct ways can these letter tiles be ordered? Show as a factorial.

a

b

c

d

e

f

3

How many distinct ways can these letter tiles be ordered? Show as a factorial.

a

b

c

d

e

4

How many distinct ways can these letter tiles be ordered? Show as a factorial.

a

b

c

d

e

f

5

How many distinct ways can these letter tiles be ordered? Show as a factorial.

a

b

c

d

e

f

6

How many distinct ways can these letter tiles be ordered? Show as a factorial.

a

b

c

d

e

f

7

How many distinct ways can these letter tiles be ordered? Show as a factorial.

a

b

c

d

e