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Probability nCm Notation - Formula to Bracket Notation (Level 1)

This math topic practices converting factorial expressions commonly used in probability into binomial coefficient notation, also known as "choose" notation. It includes exercises where students are asked to match expressions, such as factorials divided by the product of factorials, to their corresponding binomial coefficient form. This is fundamental for understanding combinations, a key concept in probability and statistics. The questions gradually progress in complexity, helping students master the conversion between these two notations.

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

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Formula to Bracket Notation

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3!2!â‹…1!\frac{3!}{2! \cdot 1!}

Probability nCm Notation - Formula to Bracket Notation Worksheet

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Math worksheet on 'Probability nCm Notation - Formula to Bracket Notation (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
A LaTex expression showing 6! over 4! times 2!
a A LaTex expression showing {5\choose4}
b A LaTex expression showing {4\choose4}
c A LaTex expression showing {4\choose6}
d A LaTex expression showing {5\choose5}
e A LaTex expression showing {8\choose5}
f A LaTex expression showing {6\choose4}
2
A LaTex expression showing 5! over 2! times 3!
a A LaTex expression showing {2\choose5}
b A LaTex expression showing {3\choose2}
c A LaTex expression showing {6\choose2}
d A LaTex expression showing {4\choose4}
e A LaTex expression showing {7\choose2}
f A LaTex expression showing {5\choose2}
3
A LaTex expression showing 6! over 2! times 4!
a A LaTex expression showing {6\choose2}
b A LaTex expression showing {5\choose3}
c A LaTex expression showing {7\choose2}
d A LaTex expression showing {8\choose2}
e A LaTex expression showing {2\choose6}
f A LaTex expression showing {4\choose3}
4
A LaTex expression showing 5! over 5! times 0!
a A LaTex expression showing {7\choose4}
b A LaTex expression showing {7\choose6}
c A LaTex expression showing {7\choose7}
d A LaTex expression showing {5\choose3}
e A LaTex expression showing {3\choose3}
f A LaTex expression showing {5\choose5}
5
A LaTex expression showing 4! over 4! times 0!
a A LaTex expression showing {4\choose3}
b A LaTex expression showing {6\choose6}
c A LaTex expression showing {5\choose3}
d A LaTex expression showing {3\choose2}
e A LaTex expression showing {4\choose4}
f A LaTex expression showing {3\choose3}
6
A LaTex expression showing 3! over 2! times 1!
a A LaTex expression showing {5\choose3}
b A LaTex expression showing {4\choose4}
c A LaTex expression showing {5\choose2}
d A LaTex expression showing {3\choose2}
e A LaTex expression showing {3\choose3}
f A LaTex expression showing {4\choose2}
7
A LaTex expression showing 5! over 3! times 2!
a A LaTex expression showing {6\choose5}
b A LaTex expression showing {5\choose3}
c A LaTex expression showing {3\choose5}
d A LaTex expression showing {7\choose3}
e A LaTex expression showing {6\choose2}
f A LaTex expression showing {7\choose2}