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

This math topic focuses on understanding and calculating the probability of different arrangements of 4 cards, some with repeated elements, using factorial notations. The problems require participants to determine the number of distinct ways to order the given set of cards and represent their solution in factorial form. This practice is part of a broader unit dedicated to exploring permutations and factorials within the theme 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, 1 Repeat - 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, 1 Repeat - to Factorial Equation Worksheet

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Math worksheet on 'Probability Counting - Ways to Order 4 Cards, 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
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!
b A LaTex expression showing 4! over 5!
c A LaTex expression showing 3! over 3!
d A LaTex expression showing 4! over 3! times 3!
e A LaTex expression showing 4! over 4! times 0!
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 5! over 3!
b A LaTex expression showing 4! over 3!
c A LaTex expression showing 3! over 3!
d A LaTex expression showing 4! over 4!
e A LaTex expression showing 4! over 3! times 2!
f A LaTex expression showing 4! over 4! times 0!
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 4! over 3! times 2!
b A LaTex expression showing 4! over 3!
c A LaTex expression showing 4! over 4!
d A LaTex expression showing 5! over 3!
e A LaTex expression showing 4! over 4! times 0!
f A LaTex expression showing 3! over 3!
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 3!
b A LaTex expression showing 4! over 3!
c A LaTex expression showing 4! over 4! times 0!
d A LaTex expression showing 4! over 4!
e A LaTex expression showing 6! over 3!
f A LaTex expression showing 4! over 5!
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 4! over 4!
b A LaTex expression showing 4! over 3!
c A LaTex expression showing 4! over 3! times 2!
d A LaTex expression showing 4! over 4! times 0!
e A LaTex expression showing 3! over 3!
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 4! over 4!
b A LaTex expression showing 4! over 4! times 0!
c A LaTex expression showing 3! over 3!
d A LaTex expression showing 6! over 4! times 3!
e A LaTex expression showing 4! over 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 3!
b A LaTex expression showing 4! over 4! times 0!
c A LaTex expression showing 4! over 4!
d A LaTex expression showing 4! over 3! times 2!
e A LaTex expression showing 6! over 2! times 3!
f A LaTex expression showing 3! over 3!