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Probability Counting - Ways to Order 4 Cards, 2 Repeats - to Factorial Equation (Level 1)

This math topic covers the application of factorial equations in calculating the number of distinct ways to order a set of cards, specifically dealing with scenarios where there are repetitions in the set. The problems involve converting real-world situations into factorial expressions to find the permutations of card orders, emphasizing the use of factorial notation and simplifying expressions with repeated elements. This set of problems is ideal for those beginning to learn about probability, permutations, and factorial notations in the context of probability and statistics.

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

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Ways to Order 4 Cards, 2 Repeats - to Factorial Equation

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

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

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Probability Counting - Ways to Order 4 Cards, 2 Repeats - to Factorial Equation Worksheet

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Math worksheet on 'Probability Counting - Ways to Order 4 Cards, 2 Repeats - to Factorial Equation (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
An svg image showing a math problem
How many distinct ways can these cards be ordered? Show as a factorial.
a A LaTex expression showing 4! over 3! times 2!
b A LaTex expression showing 4! over 4! times 2!
c A LaTex expression showing 4! over 4! times 0!
d A LaTex expression showing 4! over 2! times 2!
2
An svg image showing a math problem
How many distinct ways can these cards be ordered? Show as a factorial.
a A LaTex expression showing 4! over 2! times 3!
b A LaTex expression showing 4! over 2! times 4!
c A LaTex expression showing 4! over 2! times 2!
d A LaTex expression showing 4! over 4! times 0!
e A LaTex expression showing 6! over 2! times 2! times 2!
f A LaTex expression showing 6! over 4! times 2! times 2!
3
An svg image showing a math problem
How many distinct ways can these cards be ordered? Show as a factorial.
a A LaTex expression showing 5! over 2! times 2!
b A LaTex expression showing 6! over 2! times 2! times 2!
c A LaTex expression showing 4! over 4! times 2!
d A LaTex expression showing 4! over 2! times 2!
e A LaTex expression showing 6! over 2! times 2!
f A LaTex expression showing 4! over 4! times 0!
4
An svg image showing a math problem
How many distinct ways can these cards be ordered? Show as a factorial.
a A LaTex expression showing 6! over 2! times 2!
b A LaTex expression showing 4! over 4! times 2!
c A LaTex expression showing 3! over 2! times 2!
d A LaTex expression showing 4! over 4! times 0!
e A LaTex expression showing 4! over 2! times 2!
f A LaTex expression showing 4! over 3! times 2!
5
An svg image showing a math problem
How many distinct ways can these cards be ordered? Show as a factorial.
a A LaTex expression showing 3! over 2! times 2!
b A LaTex expression showing 4! over 4! times 0!
c A LaTex expression showing 4! over 2! times 2!
d A LaTex expression showing 4! over 2! times 4!
6
An svg image showing a math problem
How many distinct ways can these cards be ordered? Show as a factorial.
a A LaTex expression showing 5! over 2! times 2!
b A LaTex expression showing 3! over 2! times 2!
c A LaTex expression showing 4! over 4! times 0!
d A LaTex expression showing 4! over 2! times 2!
e A LaTex expression showing 4! over 2! times 3!
7
An svg image showing a math problem
How many distinct ways can these cards be ordered? Show as a factorial.
a A LaTex expression showing 4! over 4! times 0!
b A LaTex expression showing 4! over 4! times 2!
c A LaTex expression showing 4! over 2! times 2!
d A LaTex expression showing 3! over 2! times 2!
e A LaTex expression showing 5! over 2! times 2! times 2!