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Probability Counting - Ways to Order 4 Cards, 0 Repeats - to Equation (Level 1)

This math topic focuses on calculating the number of distinct ways to order 4 cards without repetitions, showing each calculation as a multiplication sequence. It serves as an introduction to counting principles and permutations, a foundational part of probability and statistics. Each of the problems prompts the learner to express the combinatorial calculations in a factorial multiplication format, which helps build understanding of basic combinatorial concepts involved in arranging a set number of items.

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

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Ways to Order 4 Cards, 0 Repeats - to 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 multiplication.

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Probability Counting - Ways to Order 4 Cards, 0 Repeats - to Equation Worksheet

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Math worksheet on 'Probability Counting - Ways to Order 4 Cards, 0 Repeats - 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 distinct ways can these cards be ordered? Show as a multiplication.
An svg image showing a math problem
a A LaTex expression showing 4 times 3 times 2
b A LaTex expression showing 4 times 3 times 2 over 3 times 2
c A LaTex expression showing 5 times 4 times 3 times 2
d A LaTex expression showing 3 times 2
e A LaTex expression showing 4 times 3 times 2 over 4 times 3 times 2 times 1
f A LaTex expression showing 4 times 3 times 2 over 1 times 3 times 2
2
How many distinct ways can these cards be ordered? Show as a multiplication.
An svg image showing a math problem
a A LaTex expression showing 4 times 3 times 2 over 4 times 3 times 2 times 1
b A LaTex expression showing 4 times 3 times 2
c A LaTex expression showing 4 times 3 times 2 over 1 times 3 times 2
d A LaTex expression showing 4 times 3 times 2 over 1 times 2
e A LaTex expression showing 6 times 5 times 4 times 3 times 2
f A LaTex expression showing 5 times 4 times 3 times 2
3
An svg image showing a math problem
How many distinct ways can these cards be ordered? Show as a multiplication.
a A LaTex expression showing 4 times 3 times 2 over 4 times 3 times 2 times 1
b A LaTex expression showing 4 times 3 times 2 over 2
c A LaTex expression showing 4 times 3 times 2
d A LaTex expression showing 3 times 2
4
An svg image showing a math problem
How many distinct ways can these cards be ordered? Show as a multiplication.
a A LaTex expression showing 4 times 3 times 2
b A LaTex expression showing 4 times 3 times 2 over 1 times 2
c A LaTex expression showing 4 times 3 times 2 over 3 times 2
d A LaTex expression showing 4 times 3 times 2 over 4 times 3 times 2 times 1
e A LaTex expression showing 4 times 3 times 2 over 2
5
How many distinct ways can these cards be ordered? Show as a multiplication.
An svg image showing a math problem
a A LaTex expression showing 6 times 5 times 4 times 3 times 2 over 4 times 3 times 2
b A LaTex expression showing 4 times 3 times 2 over 1 times 3 times 2
c A LaTex expression showing 3 times 2
d A LaTex expression showing 4 times 3 times 2
e A LaTex expression showing 4 times 3 times 2 over 4 times 3 times 2 times 1
f A LaTex expression showing 4 times 3 times 2 over 1 times 2
6
How many distinct ways can these cards be ordered? Show as a multiplication.
An svg image showing a math problem
a A LaTex expression showing 4 times 3 times 2
b A LaTex expression showing 4 times 3 times 2 over 4 times 3 times 2 times 1
c A LaTex expression showing 6 times 5 times 4 times 3 times 2 over 3 times 2
d A LaTex expression showing 3 times 2
e A LaTex expression showing 4 times 3 times 2 over 3 times 2
7
How many distinct ways can these cards be ordered? Show as a multiplication.
An svg image showing a math problem
a A LaTex expression showing 3 times 2
b A LaTex expression showing 4 times 3 times 2 over 2
c A LaTex expression showing 4 times 3 times 2 over 4 times 3 times 2 times 1
d A LaTex expression showing 4 times 3 times 2
e A LaTex expression showing 6 times 5 times 4 times 3 times 2 over 2
f A LaTex expression showing 6 times 5 times 4 times 3 times 2 over 4 times 3 times 2