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

This math topic revolves around the concept of combinatorics, specifically focusing on the use of nCm notation (also known as combination notation) to determine how many different ways one can choose a certain number of items from a group, not considering the order in which they are selected. Through a series of problems, learners are asked to translate worded descriptions of selecting subsets into the correct mathematical notation, helping reinforce understanding of combinations and factorials within the broader domain of probability and statistics. Each question provides multiple choices that test the ability to recognize and apply the correct combinatorial notation.

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

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Description to Letter Notation

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


Select the correct notation for this description

With a group of 4 options how many ways are there to choose a set of 3 options regardless of order?

Probability nCm Notation - Description to Letter Notation Worksheet

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Math worksheet on 'Probability nCm Notation - Description to Letter Notation (Level 1)'. Part of a broader unit on 'Probability and Statistics - Probability with Factorials Practice' Learn online: app.mobius.academy/math/units/probability_and_statistics_probability_with_factorials_practice/
1
With a group of 3 options how many ways are there to choose a set of 2 options regardless of order?
Select the correct notation for this description
a A LaTex expression showing sub 3 C sub 2
b A LaTex expression showing sub 5 C sub 3
c A LaTex expression showing sub 3 R sub 2
d A LaTex expression showing sub 3 P sub 2
e A LaTex expression showing sub 4 C sub 4
f A LaTex expression showing sub 2 C sub 3
2
From a group of 4 items select a set of 3 items regardless of order.
Select the correct notation for this description
a A LaTex expression showing sub 4 R sub 3
b A LaTex expression showing sub 3 C sub 4
c A LaTex expression showing sub 4 C sub 3
d A LaTex expression showing sub 4 P sub 3
e A LaTex expression showing sub 4 C sub 2
f A LaTex expression showing sub 4 G sub 3
3
From a group of 3 items select a set of 3 items regardless of order.
Select the correct notation for this description
a A LaTex expression showing sub 3 C sub 3
b A LaTex expression showing sub 3 G sub 3
c A LaTex expression showing sub 3 R sub 3
d A LaTex expression showing sub 3 P sub 3
e A LaTex expression showing sub 4 C sub 4
4
With a group of 5 options how many ways are there to choose a set of 5 options regardless of order?
Select the correct notation for this description
a A LaTex expression showing sub 4 C sub 3
b A LaTex expression showing sub 5 P sub 5
c A LaTex expression showing sub 7 C sub 5
d A LaTex expression showing sub 5 C sub 4
e A LaTex expression showing sub 5 G sub 5
f A LaTex expression showing sub 5 C sub 5
5
From a group of 5 items select a set of 2 items regardless of order.
Select the correct notation for this description
a A LaTex expression showing sub 5 C sub 2
b A LaTex expression showing sub 5 P sub 2
c A LaTex expression showing sub 4 C sub 2
d A LaTex expression showing sub 3 C sub 3
e A LaTex expression showing sub 5 G sub 2
f A LaTex expression showing sub 2 C sub 5
6
Choose a set of 2 items from a group of 6 total items. Ignore the order.
Select the correct notation for this description
a A LaTex expression showing sub 6 G sub 2
b A LaTex expression showing sub 8 C sub 2
c A LaTex expression showing sub 6 P sub 2
d A LaTex expression showing sub 4 C sub 3
e A LaTex expression showing sub 6 C sub 4
f A LaTex expression showing sub 6 C sub 2
7
With a group of 6 options how many ways are there to choose a set of 6 options regardless of order?
Select the correct notation for this description
a A LaTex expression showing sub 6 G sub 6
b A LaTex expression showing sub 6 P sub 6
c A LaTex expression showing sub 6 R sub 6
d A LaTex expression showing sub 8 C sub 8
e A LaTex expression showing sub 6 C sub 6