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Probability nCm Notation - Description to Value (Level 1)

This math topic focuses on practicing the calculation of combinations using the `nCm` notation, also known as binomial coefficients, in various scenarios. It involves selecting sets of items from a larger group without considering the order of selection. The problems range from choosing smaller sets to selecting all items from the group. Each question presents a scenario for choosing a subset and asks for the correct combination value from a set of options, encouraging understanding and application of factorial concepts and calculations within probability and statistics.

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

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Description to Value

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


Select the correct value for when the described situation is calculated

From a group of 4 items select a set of 3 items regardless of order.

Probability nCm Notation - Description to Value Worksheet

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Math worksheet on 'Probability nCm Notation - Description to Value (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
From a group of 3 items select a set of 3 items regardless of order.
Select the correct value for when the described situation is calculated
a A LaTex expression showing 6 over 2
b A LaTex expression showing 24 over 6
c A LaTex expression showing 6 over 1
d A LaTex expression showing 6 over 6
2
Choose a set of 5 items from a group of 5 total items. Ignore the order.
Select the correct value for when the described situation is calculated
a A LaTex expression showing 120 over 120
b A LaTex expression showing 720 over 36
c A LaTex expression showing 120 over 1
3
With a group of 4 options how many ways are there to choose a set of 3 options regardless of order?
Select the correct value for when the described situation is calculated
a A LaTex expression showing 6 over 24
b A LaTex expression showing 24 over 24
c A LaTex expression showing 24 over 1
d A LaTex expression showing 24 over 6
4
Choose a set of 3 items from a group of 5 total items. Ignore the order.
Select the correct value for when the described situation is calculated
a A LaTex expression showing 6 over 2
b A LaTex expression showing 6 over 120
c A LaTex expression showing 120 over 2
d A LaTex expression showing 120 over 12
e A LaTex expression showing 24 over 6
5
With a group of 6 options how many ways are there to choose a set of 3 options regardless of order?
Select the correct value for when the described situation is calculated
a A LaTex expression showing 720 over 120
b A LaTex expression showing 720 over 48
c A LaTex expression showing 120 over 24
d A LaTex expression showing 6 over 720
e A LaTex expression showing 720 over 6
f A LaTex expression showing 720 over 36
6
From a group of 6 items select a set of 2 items regardless of order.
Select the correct value for when the described situation is calculated
a A LaTex expression showing 720 over 24
b A LaTex expression showing 5040 over 240
c A LaTex expression showing 720 over 48
d A LaTex expression showing 2 over 720
7
From a group of 4 items select a set of 4 items regardless of order.
Select the correct value for when the described situation is calculated
a A LaTex expression showing 24 over 4
b A LaTex expression showing 720 over 36
c A LaTex expression showing 24 over 24
d A LaTex expression showing 24 over 1
e A LaTex expression showing 6 over 2
f A LaTex expression showing 6 over 6