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

This math topic focuses on practicing the conversion of combinatorial expressions from bracket notation to factorial formula. It specifically covers scenarios related to binomial coefficients, conveyed as 'n choose m' notation. The problems require identifying and matching the correct factorial expressions for given combinations, which is fundamental in understanding probability and statistics in the initial study of binomial notation. The questions incrementally cover various combinations, ensuring thorough practice in manipulating and understanding factorial and combination notation.

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

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Bracket Notation to Formula

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


Select the correct formula for this notation

(43){4\choose3}

Probability nCm Notation - Bracket Notation to Formula Worksheet

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