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Probability nCm Notation - 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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Bracket Notation to Value

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Select the correct value for when this notation is calculated

(55){5\choose5}

Probability nCm Notation - Bracket Notation to Value Worksheet

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Math worksheet on 'Probability nCm Notation - Bracket Notation to Value (Level 1)'. Part of a broader unit on 'Probability and Statistics - Permutations and Combinations Calculating - Intro' Learn online: app.mobius.academy/math/units/probability_and_statistics_permutations_and_combinations_calculation_intro/
1
Select the correct value for when this notation is calculated
A LaTex expression showing {6\choose3}
a A LaTex expression showing 720 over 6
b A LaTex expression showing 6 over 720
c A LaTex expression showing 40320 over 1440
d A LaTex expression showing 720 over 36
2
Select the correct value for when this notation is calculated
A LaTex expression showing {6\choose6}
a A LaTex expression showing 720 over 720
b A LaTex expression showing 120 over 120
c A LaTex expression showing 5040 over 720
d A LaTex expression showing 720 over 1
3
Select the correct value for when this notation is calculated
A LaTex expression showing {6\choose5}
a A LaTex expression showing 720 over 120
b A LaTex expression showing 120 over 720
c A LaTex expression showing 720 over 1
d A LaTex expression showing 24 over 24
4
Select the correct value for when this notation is calculated
A LaTex expression showing {5\choose3}
a A LaTex expression showing 6 over 6
b A LaTex expression showing 24 over 4
c A LaTex expression showing 120 over 2
d A LaTex expression showing 5040 over 240
e A LaTex expression showing 120 over 12
f A LaTex expression showing 6 over 120
5
Select the correct value for when this notation is calculated
A LaTex expression showing {4\choose3}
a A LaTex expression showing 24 over 4
b A LaTex expression showing 24 over 6
c A LaTex expression showing 6 over 2
d A LaTex expression showing 24 over 1
e A LaTex expression showing 720 over 48
f A LaTex expression showing 6 over 24
6
Select the correct value for when this notation is calculated
A LaTex expression showing {5\choose4}
a A LaTex expression showing 120 over 1
b A LaTex expression showing 5040 over 240
c A LaTex expression showing 24 over 120
d A LaTex expression showing 120 over 120
e A LaTex expression showing 120 over 24
f A LaTex expression showing 720 over 48
7
Select the correct value for when this notation is calculated
A LaTex expression showing {5\choose2}
a A LaTex expression showing 6 over 6
b A LaTex expression showing 720 over 48
c A LaTex expression showing 2 over 120
d A LaTex expression showing 120 over 6
e A LaTex expression showing 120 over 12
f A LaTex expression showing 24 over 4