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Factorial Calculation - Single over Bracketed (Level 1)

This math topic focuses on calculating factorial expressions, specifically those where a single factorial is divided by a factorial with a difference in its argument (symbolized as "n! over (n-r)!"). The problems are designed to test understanding of how factorial calculations interact within the format of division, particularly in scenarios relevant to probability and statistics. Each question presents a factorial divided by another factorial with a subtracted value inside the bracket, challenging students to apply factorial properties and arithmetic operations to find the correct value.

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

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Factorial Calculation - Single over Bracketed

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What is the value of this factorial expression?

3!(4−4)!\frac{3!}{(4 - 4)!}

Factorial Calculation - Single over Bracketed Worksheet

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Math worksheet on 'Factorial Calculation - Single over Bracketed (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
What is the value of this factorial expression?
A LaTex expression showing 2! over (4 - 4)!
a A LaTex expression showing 6
b A LaTex expression showing 24
c A LaTex expression showing 2
d A LaTex expression showing 1
2
What is the value of this factorial expression?
A LaTex expression showing 2! over (3 - 3)!
a A LaTex expression showing 1
b A LaTex expression showing 24
c A LaTex expression showing 2
d A LaTex expression showing 1 over 12
3
What is the value of this factorial expression?
A LaTex expression showing 2! over (5 - 5)!
a A LaTex expression showing 6
b A LaTex expression showing 2
c A LaTex expression showing 1
d A LaTex expression showing 120
e A LaTex expression showing 24
4
What is the value of this factorial expression?
A LaTex expression showing 4! over (5 - 5)!
a A LaTex expression showing 6
b A LaTex expression showing 120
c A LaTex expression showing 24
d A LaTex expression showing 12
5
What is the value of this factorial expression?
A LaTex expression showing 4! over (4 - 2)!
a A LaTex expression showing 24
b A LaTex expression showing 1
c A LaTex expression showing 4
d A LaTex expression showing 3
e A LaTex expression showing 12
6
What is the value of this factorial expression?
A LaTex expression showing 5! over (5 - 4)!
a A LaTex expression showing 24
b A LaTex expression showing 60
c A LaTex expression showing 120
d A LaTex expression showing 6
7
What is the value of this factorial expression?
A LaTex expression showing 2! over (4 - 2)!
a A LaTex expression showing 2
b A LaTex expression showing 3
c A LaTex expression showing 1
d A LaTex expression showing 1 over 3