Description to Formula (Level 1)

This math topic focuses on practicing probability using the combination formula, denoted as nCm, where n represents the total items, and m the number of items to choose. The problems require selecting the correct formula for choosing sets of items from a group, considering different values of n and m. It emphasizes understanding how to apply factorial calculations and combinations to determine the number of ways to select items disregarding order. Each question provides multiple formula options, including factorials and combinations, illustrating typical scenarios in probability and combinatorics.

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

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Probability nCm Notation - Description to Formula Worksheet

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Math worksheet on 'Probability nCm Notation - Description to Formula (Level 1)'. Part of a broader unit on 'Probability and Statistics - Probability with Factorials Intro' Learn online: app.mobius.academy/math/units/probability_and_statistics_probability_with_factorials_intro/
1
From a group of 5 items select a set of 3 items regardless of order.
Select the correct formula for this description
a A LaTex expression showing 6! over 5! times 1!
b A LaTex expression showing 5! over 2!
c A LaTex expression showing 3! over 5! times 2!
d A LaTex expression showing 5! over 3! times 2!
2
Choose a set of 4 items from a group of 6 total items. Ignore the order.
Select the correct formula for this description
a A LaTex expression showing 5! over 2! times 3!
b A LaTex expression showing 6! over 4! times 2!
c A LaTex expression showing 6! over 2!
d A LaTex expression showing 4! over 6! times 2!
3
With a group of 6 options how many ways are there to choose a set of 3 options regardless of order?
Select the correct formula for this description
a A LaTex expression showing 3! over 6! times 3!
b A LaTex expression showing 6! over 3!
c A LaTex expression showing 6! over 3! times 3!
4
With a group of 4 options how many ways are there to choose a set of 2 options regardless of order?
Select the correct formula for this description
a A LaTex expression showing 4! over 2!
b A LaTex expression showing 2! over 4! times 2!
c A LaTex expression showing 4! over 2! times 2!
5
With a group of 6 options how many ways are there to choose a set of 5 options regardless of order?
Select the correct formula for this description
a A LaTex expression showing 6!
b A LaTex expression showing 5! over 6! times 1!
c A LaTex expression showing 6! over 5! times 1!
6
With a group of 5 options how many ways are there to choose a set of 4 options regardless of order?
Select the correct formula for this description
a A LaTex expression showing 4! over 5! times 1!
b A LaTex expression showing 6! over 6! times 0!
c A LaTex expression showing 5!
d A LaTex expression showing 5! over 4! times 1!
7
With a group of 5 options how many ways are there to choose a set of 2 options regardless of order?
Select the correct formula for this description
a A LaTex expression showing 2! over 5! times 3!
b A LaTex expression showing 5! over 2! times 3!
c A LaTex expression showing 4! over 3! times 1!
d A LaTex expression showing 5! over 3!
Probability nCm Notation - Description to Formula (Level 1) - Mobius Math