Factorial Calculation - Single over Bracketed Multiplication

Level 1

This math topic focuses on evaluating factorial expressions, specifically single factorials over bracketed multiplications involving subtraction within the factorial terms. It is part of an introductory unit on probability and statistics that teaches the computations related to factorial forms, fundamental for understanding permutations and combinations in mathematics. Each question presents different configurations of factorials divided by the product of additional factorials, requiring the solutions to involve calculation rules and simplifications pertaining to factorial mathematics.

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

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Factorial Calculation - Single over Bracketed Multiplication

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What is the value of this factorial expression?

5!2!(33)!\frac{5!}{2! \cdot (3 - 3)!}

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Factorial Calculation - Single over Bracketed Multiplication Worksheet

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Math worksheet on 'Factorial Calculation - Single over Bracketed Multiplication (Level 1)'. Part of a broader unit on 'Probability and Statistics - Probability with Factorials Intro' Learn online: app.mobius.academy/math/units/probability_and_statistics_probability_with_factorials_intro/
1
What is the value of this factorial expression?
A LaTex expression showing 3! over 4! times (6 - 4)!
a A LaTex expression showing 1 over 40
b A LaTex expression showing 1 over 24
c A LaTex expression showing 1 over 8
d A LaTex expression showing 3
2
What is the value of this factorial expression?
A LaTex expression showing 4! over 3! times (5 - 5)!
a A LaTex expression showing 12
b A LaTex expression showing 1
c A LaTex expression showing 4
d A LaTex expression showing 1 over 2
3
What is the value of this factorial expression?
A LaTex expression showing 2! over 4! times (2 - 2)!
a A LaTex expression showing 1 over 72
b A LaTex expression showing 1 over 60
c A LaTex expression showing 1 over 12
d A LaTex expression showing 1
e A LaTex expression showing 1 over 3
4
What is the value of this factorial expression?
A LaTex expression showing 4! over 3! times (6 - 5)!
a A LaTex expression showing 1 over 3
b A LaTex expression showing 24
c A LaTex expression showing 1 over 5
d A LaTex expression showing 4
e A LaTex expression showing 2 over 3
5
What is the value of this factorial expression?
A LaTex expression showing 2! over 4! times (6 - 6)!
a A LaTex expression showing 1 over 24
b A LaTex expression showing 1 over 4
c A LaTex expression showing 1
d A LaTex expression showing 1 over 12
6
What is the value of this factorial expression?
A LaTex expression showing 3! over 2! times (4 - 4)!
a A LaTex expression showing 1
b A LaTex expression showing 3
c A LaTex expression showing 3 over 2
d A LaTex expression showing 1 over 2
7
What is the value of this factorial expression?
A LaTex expression showing 5! over 4! times (5 - 5)!
a A LaTex expression showing 20
b A LaTex expression showing 1 over 10
c A LaTex expression showing 60
d A LaTex expression showing 1 over 24
e A LaTex expression showing 5