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

This math topic focuses on practicing the binomial coefficient, often represented using "n choose k" notation, which is used in probability and statistics. Problems involve calculating combinations where order does not matter. For example, questions might ask to select a set number of items from a larger group, and learners must correctly use the binomial formula to find the answer. There are multiple choice or image-based answers, challenging students to identify the correct binomial expression among different options. This helps students understand and apply the principles of combinations in probability contexts.

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

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Description to Bracket Notation

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From a group of 5 items select a set of 4 items regardless of order.

Probability nCm Notation - Description to Bracket Notation Worksheet

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Math worksheet on 'Probability nCm Notation - Description 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
From a group of 6 items select a set of 2 items regardless of order.
a A LaTex expression showing {2\choose6}
b A LaTex expression showing {4\choose2}
c A LaTex expression showing {4\choose3}
d A LaTex expression showing {6\choose2}
e A LaTex expression showing {7\choose3}
f A LaTex expression showing {8\choose3}
2
From a group of 4 items select a set of 2 items regardless of order.
a A LaTex expression showing {2\choose4}
b A LaTex expression showing {4\choose4}
c A LaTex expression showing {3\choose3}
d A LaTex expression showing {3\choose2}
e A LaTex expression showing {4\choose2}
f A LaTex expression showing {5\choose4}
3
Choose a set of 4 items from a group of 6 total items. Ignore the order.
a A LaTex expression showing {8\choose3}
b A LaTex expression showing {8\choose2}
c A LaTex expression showing {7\choose5}
d A LaTex expression showing {4\choose6}
e A LaTex expression showing {7\choose3}
f A LaTex expression showing {6\choose4}
4
From a group of 5 items select a set of 3 items regardless of order.
a A LaTex expression showing {6\choose4}
b A LaTex expression showing {5\choose4}
c A LaTex expression showing {3\choose5}
d A LaTex expression showing {4\choose2}
e A LaTex expression showing {5\choose3}
f A LaTex expression showing {3\choose3}
5
With a group of 6 options how many ways are there to choose a set of 3 options regardless of order?
a A LaTex expression showing {8\choose5}
b A LaTex expression showing {3\choose6}
c A LaTex expression showing {8\choose2}
d A LaTex expression showing {6\choose2}
e A LaTex expression showing {6\choose3}
f A LaTex expression showing {5\choose2}
6
Choose a set of 3 items from a group of 4 total items. Ignore the order.
a A LaTex expression showing {5\choose5}
b A LaTex expression showing {3\choose3}
c A LaTex expression showing {3\choose2}
d A LaTex expression showing {3\choose4}
e A LaTex expression showing {6\choose4}
f A LaTex expression showing {4\choose3}
7
Choose a set of 5 items from a group of 5 total items. Ignore the order.
a A LaTex expression showing {3\choose3}
b A LaTex expression showing {7\choose7}
c A LaTex expression showing {6\choose5}
d A LaTex expression showing {5\choose5}
e A LaTex expression showing {5\choose3}
f A LaTex expression showing {7\choose3}