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.

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Factorial Calculation - Single over Bracketed Worksheet

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Factorial Calculation - Single over Bracketed
1
What is the value of this factorial expression?
A LaTex expression showing 4! over (3 - 3)!
a A LaTex expression showing 2 over 3
b A LaTex expression showing 24
c A LaTex expression showing 6
d A LaTex expression showing 1 over 36
e A LaTex expression showing 4
2
What is the value of this factorial expression?
A LaTex expression showing 5! over (6 - 5)!
a A LaTex expression showing 24
b A LaTex expression showing 120
c A LaTex expression showing 1
d A LaTex expression showing 240
3
What is the value of this factorial expression?
A LaTex expression showing 4! over (5 - 5)!
a A LaTex expression showing 1 over 5
b A LaTex expression showing 12
c A LaTex expression showing 24
d A LaTex expression showing 1 over 240
4
What is the value of this factorial expression?
A LaTex expression showing 2! over (3 - 3)!
a A LaTex expression showing 1 over 18
b A LaTex expression showing 1
c A LaTex expression showing 2
d A LaTex expression showing 12
e A LaTex expression showing 40
5
What is the value of this factorial expression?
A LaTex expression showing 4! over (2 - 2)!
a A LaTex expression showing 4
b A LaTex expression showing 24
c A LaTex expression showing 1 over 144
d A LaTex expression showing 12
6
What is the value of this factorial expression?
A LaTex expression showing 2! over (6 - 6)!
a A LaTex expression showing 4
b A LaTex expression showing 1
c A LaTex expression showing 1 over 120
d A LaTex expression showing 2
e A LaTex expression showing 1 over 24
7
What is the value of this factorial expression?
A LaTex expression showing 4! over (4 - 3)!
a A LaTex expression showing 24
b A LaTex expression showing 2
c A LaTex expression showing 4
d A LaTex expression showing 48
8
What is the value of this factorial expression?
A LaTex expression showing 3! over (6 - 6)!
a A LaTex expression showing 2
b A LaTex expression showing 1
c A LaTex expression showing 6
d A LaTex expression showing 1 over 8