Bracket Notation to Value (Level 1)

This math topic focuses on calculating the values of binomial coefficients, often represented as n choose m or "nCm" (binomial notation). The questions involve selecting the correct value of the binomial coefficient given various "n choose m" notations. Participants work through multiple-choice questions where they must select the correct simplified form of the binomial coefficient from several given options. This is fundamental in understanding combinations, a key concept in probability and statistics. This topic is part of a broader unit introducing binomial notation.

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

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Probability nCm Notation - Bracket Notation to Value Worksheet

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Probability nCm Notation - Bracket Notation to Value
1
Select the correct value for when this notation is calculated
A LaTex expression showing {4\choose3}
a A LaTex expression showing 24 over 6
b A LaTex expression showing 6 over 24
c A LaTex expression showing 24 over 4
d A LaTex expression showing 24 over 1
2
Select the correct value for when this notation is calculated
A LaTex expression showing {6\choose5}
a A LaTex expression showing 720 over 36
b A LaTex expression showing 720 over 1
c A LaTex expression showing 720 over 120
d A LaTex expression showing 5040 over 5040
3
Select the correct value for when this notation is calculated
A LaTex expression showing {6\choose4}
a A LaTex expression showing 24 over 720
b A LaTex expression showing 720 over 2
c A LaTex expression showing 720 over 48
4
A LaTex expression showing {4\choose4}
Select the correct value for when this notation is calculated
a A LaTex expression showing 24 over 1
b A LaTex expression showing 24 over 24
5
Select the correct value for when this notation is calculated
A LaTex expression showing {4\choose2}
a A LaTex expression showing 24 over 2
b A LaTex expression showing 2 over 24
c A LaTex expression showing 24 over 4
6
A LaTex expression showing {5\choose2}
Select the correct value for when this notation is calculated
a A LaTex expression showing 120 over 12
b A LaTex expression showing 120 over 6
7
A LaTex expression showing {6\choose6}
Select the correct value for when this notation is calculated
a A LaTex expression showing 720 over 720
b A LaTex expression showing 720 over 1
8
Select the correct value for when this notation is calculated
A LaTex expression showing {5\choose3}
a A LaTex expression showing 120 over 2
b A LaTex expression showing 120 over 12
c A LaTex expression showing 720 over 48
d A LaTex expression showing 6 over 120