HomePricing

Probability Counting - Ways to Order 3 Letters, 1 Repeat - to Equation (Level 1)

This topic covers probability calculations involving the arrangements of three-letter combinations where one letter repeats. It focuses on expressing the number of distinct orderings of the letters as multiplication problems, incorporating factorial concepts commonly used in permutations and combinations. This set of problems is designed to introduce and develop understanding of factorials and their application in basic probability scenarios for repeated items. The exercises require recognizing the total number of permutations and adjusting for repeated elements by factorial division to avoid over-counting identical arrangements.

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

View Unit

Ways to Order 3 Letters, 1 Repeat - to Equation

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


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

RMR

Probability Counting - Ways to Order 3 Letters, 1 Repeat - to Equation Worksheet

Mobius Math Club logo
Math worksheet on 'Probability Counting - Ways to Order 3 Letters, 1 Repeat - to Equation (Level 1)'. Part of a broader unit on 'Probability and Statistics - Probability with Factorials Intro' Learn online: app.mobius.academy/math/units/probability_and_statistics_probability_with_factorials_intro/
1
An svg image showing a math problem
How many distinct ways can these letter tiles be ordered? Show as a multiplication.
a A LaTex expression showing 3 times 2 over 2
b A LaTex expression showing 3 times 2 over 3 times 2
c A LaTex expression showing 3 times 2 over 2 times 2
d A LaTex expression showing 3 times 2 over 4 times 3 times 2
e A LaTex expression showing 3 times 2 over 3 times 2 times 1
2
An svg image showing a math problem
How many distinct ways can these letter tiles be ordered? Show as a multiplication.
a A LaTex expression showing 3 times 2 over 3 times 2 times 1
b A LaTex expression showing 3 times 2 over 4 times 3 times 2
c A LaTex expression showing 4 times 3 times 2 over 2 times 2
d A LaTex expression showing 5 times 4 times 3 times 2 over 3 times 2 times 2
e A LaTex expression showing 3 times 2 over 2
3
An svg image showing a math problem
How many distinct ways can these letter tiles be ordered? Show as a multiplication.
a A LaTex expression showing 3 times 2 over 2
b A LaTex expression showing 3 times 2 over 4 times 3 times 2
c A LaTex expression showing 3 times 2 over 2 times 2
d A LaTex expression showing 3 times 2 over 3 times 2 times 1
e A LaTex expression showing 5 times 4 times 3 times 2 over 2
f A LaTex expression showing 3 times 2 over 3 times 2
4
An svg image showing a math problem
How many distinct ways can these letter tiles be ordered? Show as a multiplication.
a A LaTex expression showing 3 times 2 over 4 times 3 times 2
b A LaTex expression showing 3 times 2 over 2 times 3 times 2
c A LaTex expression showing 3 times 2 over 3 times 2
d A LaTex expression showing 3 times 2 over 2
e A LaTex expression showing 3 times 2 over 3 times 2 times 1
f A LaTex expression showing 4 times 3 times 2 over 2
5
An svg image showing a math problem
How many distinct ways can these letter tiles be ordered? Show as a multiplication.
a A LaTex expression showing 3 times 2 over 3 times 2 times 1
b A LaTex expression showing 3 times 2 over 2
c A LaTex expression showing 3 times 2 over 3 times 2
d A LaTex expression showing 3 times 2 over 2 times 2
6
An svg image showing a math problem
How many distinct ways can these letter tiles be ordered? Show as a multiplication.
a A LaTex expression showing 5 times 4 times 3 times 2 over 2
b A LaTex expression showing 3 times 2 over 4 times 3 times 2
c A LaTex expression showing 3 times 2 over 3 times 2 times 1
d A LaTex expression showing 3 times 2 over 2
e A LaTex expression showing 3 times 2 over 2 times 3 times 2
f A LaTex expression showing 3 times 2 over 3 times 2
7
An svg image showing a math problem
How many distinct ways can these letter tiles be ordered? Show as a multiplication.
a A LaTex expression showing 3 times 2 over 2 times 3 times 2
b A LaTex expression showing 4 times 3 times 2 over 2
c A LaTex expression showing 3 times 2 over 2
d A LaTex expression showing 3 times 2 over 3 times 2
e A LaTex expression showing 3 times 2 over 3 times 2 times 1