This math topic focuses on practicing the simplification of expressions involving factorial division, which is a fundamental skill in probability and statistics, particularly in the introduction to binomial notation. Each problem requires selecting the correct equivalent to given factorial expressions. The skills tested include understanding and manipulating factorials in equations to simplify them effectively, integrating knowledge important for higher-level statistical computations and analysis.

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

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Factorial Division - To Value Worksheet

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Factorial Division - To Value
1
Select the correct equivalent to this factorial
A LaTex expression showing 3! over 3!
a A LaTex expression showing 1
b A LaTex expression showing 1 over 120
c A LaTex expression showing 1 over 24
d A LaTex expression showing 2
e A LaTex expression showing 1 over 4
2
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 5
c A LaTex expression showing 5
d A LaTex expression showing 1 over 42
3
Select the correct equivalent to this factorial
A LaTex expression showing 4! over 3!
a A LaTex expression showing 1
b A LaTex expression showing 20
c A LaTex expression showing 4
4
Select the correct equivalent to this factorial
A LaTex expression showing 3! over 2!
a A LaTex expression showing 1
b A LaTex expression showing 3
c A LaTex expression showing 1 over 60
d A LaTex expression showing 5
5
Select the correct equivalent to this factorial
A LaTex expression showing 5! over 5!
a A LaTex expression showing 20
b A LaTex expression showing 1 over 7
c A LaTex expression showing 1 over 210
d A LaTex expression showing 1
e A LaTex expression showing 1 over 5
6
Select the correct equivalent to this factorial
A LaTex expression showing 6! over 6!
a A LaTex expression showing 1 over 7
b A LaTex expression showing 1 over 336
c A LaTex expression showing 1 over 4
d A LaTex expression showing 30
e A LaTex expression showing 1
7
Select the correct equivalent to this factorial
A LaTex expression showing 4! over 6!
a A LaTex expression showing 1 over 360
b A LaTex expression showing 1 over 30
c A LaTex expression showing 1 over 4
d A LaTex expression showing 1 over 120
8
Select the correct equivalent to this factorial
A LaTex expression showing 5! over 6!
a A LaTex expression showing 336
b A LaTex expression showing 1 over 840
c A LaTex expression showing 1 over 6
d A LaTex expression showing 1 over 8
e A LaTex expression showing 8