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Factorial Calculation - 1 over Bracketed Multiplication (Level 1)

This math topic focuses on calculating factorial expressions in the context of probability and statistics. It primarily deals with solving expressions of the form 1 over the product of factorials and simple arithmetic operations within factorials. The problems involve evaluations such as \( \frac{1}{{n! \times (m-k)!}} \), where n, m, and k are integers. This provides foundational understanding and practice in manipulating factorials, an integral part of solving more complex probability and statistical problems. Each question presents multiple-choice answers, aiding in reinforcing comprehension and calculation skills related to factorial manipulations.

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

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Factorial Calculation - 1 over Bracketed Multiplication

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What is the value of this factorial expression?

15!⋅(4−3)!\frac{1}{5! \cdot (4 - 3)!}

Factorial Calculation - 1 over Bracketed Multiplication Worksheet

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Math worksheet on 'Factorial Calculation - 1 over Bracketed Multiplication (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 1 over 5! times (6 - 4)!
a A LaTex expression showing 1 over 2
b A LaTex expression showing 1 over 240
c A LaTex expression showing 1 over 120
2
What is the value of this factorial expression?
A LaTex expression showing 1 over 3! times (3 - 2)!
a A LaTex expression showing 1 over 36
b A LaTex expression showing 1 over 120
c A LaTex expression showing 1 over 2
d A LaTex expression showing 1 over 12
e A LaTex expression showing 1 over 6
3
What is the value of this factorial expression?
A LaTex expression showing 1 over 2! times (3 - 2)!
a A LaTex expression showing 1
b A LaTex expression showing 1 over 2
c A LaTex expression showing 1 over 24
d A LaTex expression showing 1 over 48
4
What is the value of this factorial expression?
A LaTex expression showing 1 over 4! times (4 - 3)!
a A LaTex expression showing 1 over 120
b A LaTex expression showing 1 over 24
c A LaTex expression showing 1 over 48
5
What is the value of this factorial expression?
A LaTex expression showing 1 over 4! times (4 - 2)!
a A LaTex expression showing 1 over 144
b A LaTex expression showing 1 over 24
c A LaTex expression showing 1 over 48
d A LaTex expression showing 1 over 120
6
What is the value of this factorial expression?
A LaTex expression showing 1 over 5! times (3 - 2)!
a A LaTex expression showing 1 over 240
b A LaTex expression showing 1 over 120
c A LaTex expression showing 1 over 12
d A LaTex expression showing 1 over 48
7
What is the value of this factorial expression?
A LaTex expression showing 1 over 4! times (4 - 4)!
a A LaTex expression showing 1 over 6
b A LaTex expression showing 1
c A LaTex expression showing 1 over 120
d A LaTex expression showing 1 over 2
e A LaTex expression showing 1 over 24