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Factorial Division - To Multiplication String (Level 2)

This math topic involves practicing the simplification of factorial expressions, specifically focusing on dividing one factorial by another and expressing the outcome as a multiplication string. These problems are part of an introduction to binomial notation in probability and statistics, helping learners understand and manipulate factorials in various cases, which is fundamental in permutations, combinations, and probability calculations. Each question presents a different factorial division scenario, requiring selection of the correct equivalent expression among multiple options.

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

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Factorial Division - To Multiplication String

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


Select the correct equivalent to this factorial

3!4!\frac{3!}{4!}

Factorial Division - To Multiplication String Worksheet

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Math worksheet on 'Factorial Division - To Multiplication String (Level 2)'. 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
Select the correct equivalent to this factorial
A LaTex expression showing 5! over 2!
a A LaTex expression showing 5 times 4 times 3 times 2
b A LaTex expression showing 4 times 3
c A LaTex expression showing 5 times 4 times 3
d A LaTex expression showing 1 over 3
e A LaTex expression showing 1
2
Select the correct equivalent to this factorial
A LaTex expression showing 5! over 5!
a A LaTex expression showing 1 over 6 times 5
b A LaTex expression showing 1
c A LaTex expression showing 6
d A LaTex expression showing 7 times 6
3
Select the correct equivalent to this factorial
A LaTex expression showing 3! over 5!
a A LaTex expression showing 5 times 4 times 3 times 2
b A LaTex expression showing 1 over 7 times 6 times 5 times 4 times 3
c A LaTex expression showing 1 over 5 times 4
d A LaTex expression showing 1 over 6 times 5
e A LaTex expression showing 6 times 5 times 4 times 3
4
Select the correct equivalent to this factorial
A LaTex expression showing 3! over 6!
a A LaTex expression showing 1 over 8 times 7 times 6 times 5 times 4
b A LaTex expression showing 5 times 4 times 3 times 2
c A LaTex expression showing 1 over 6 times 5 times 4
d A LaTex expression showing 7 times 6 times 5 times 4 times 3
e A LaTex expression showing 1 over 4 times 3
5
Select the correct equivalent to this factorial
A LaTex expression showing 4! over 5!
a A LaTex expression showing 1 over 4
b A LaTex expression showing 1 over 3
c A LaTex expression showing 1
d A LaTex expression showing 1 over 5
6
Select the correct equivalent to this factorial
A LaTex expression showing 3! over 3!
a A LaTex expression showing 3 times 2
b A LaTex expression showing 1
c A LaTex expression showing 1 over 3 times 2
d A LaTex expression showing 1 over 4
e A LaTex expression showing 4 times 3 times 2
7
Select the correct equivalent to this factorial
A LaTex expression showing 6! over 6!
a A LaTex expression showing 1
b A LaTex expression showing 1 over 6
c A LaTex expression showing 4
d A LaTex expression showing 1 over 4