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Probability nPm Notation - Description to Formula (Level 1)

This math topic focuses on understanding and applying the concept of permutations, symbolized as \(nPm\), where 'n' and 'm' represent selecting 'm' options from 'n' possibilities in a specific order. The practice involves interpreting textual descriptions of different selection scenarios and identifying the corresponding mathematical permutation formula. Problems range from selecting a few items from a small group to choosing the majority from a larger set, with the aim to calculate possible orderings or arrangements for the items chosen.

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

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Description to Formula

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Select the correct formula for this description

With a group of 4 items, if you choose 3 in a specific order, how many permutations are possible?

Probability nPm Notation - Description to Formula Worksheet

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Math worksheet on 'Probability nPm Notation - Description 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
Choose 2 options in a specific order from a group of 3 options
Select the correct formula for this description
a A LaTex expression showing 3! over 1! times 2!
b A LaTex expression showing 3!
c A LaTex expression showing 3! over 3!
d A LaTex expression showing 2!
e A LaTex expression showing 3! over 2!
f A LaTex expression showing 3! over 2! times 1!
2
With a group of 4 items, if you choose 3 in a specific order, how many permutations are possible?
Select the correct formula for this description
a A LaTex expression showing 4! over 1! times 2!
b A LaTex expression showing 4!
c A LaTex expression showing 4! over 3! times 1!
d A LaTex expression showing 6!
e A LaTex expression showing 3!
3
From a group of 4 options how many ways are there to choose 2 options in a specific order?
Select the correct formula for this description
a A LaTex expression showing 4! over 2!
b A LaTex expression showing 3!
c A LaTex expression showing 4! over 2! times 1! times 3!
d A LaTex expression showing 4! over 2! times 2!
e A LaTex expression showing 5! over 3!
f A LaTex expression showing 2! over 2!
4
With a group of 4 items, if you choose 4 in a specific order, how many permutations are possible?
Select the correct formula for this description
a A LaTex expression showing 4!
b A LaTex expression showing 4! over 3!
c A LaTex expression showing 4! over 4! times 0!
d A LaTex expression showing 4! over 2!
5
With a group of 5 items, if you choose 4 in a specific order, how many permutations are possible?
Select the correct formula for this description
a A LaTex expression showing 4! over 2!
b A LaTex expression showing 5! over 4! times 1!
c A LaTex expression showing 5! over 3!
d A LaTex expression showing 4!
e A LaTex expression showing 5!
f A LaTex expression showing 6!
6
Choose 3 options in a specific order from a group of 3 options
Select the correct formula for this description
a A LaTex expression showing 3! over 3! times 0!
b A LaTex expression showing 5! over 3!
c A LaTex expression showing 3!
d A LaTex expression showing 3! over 3!
e A LaTex expression showing 3! over 1! times 3!
7
From a group of 6 options how many ways are there to choose 4 options in a specific order?
Select the correct formula for this description
a A LaTex expression showing 6! over 4! times 2!
b A LaTex expression showing 7!
c A LaTex expression showing 4! over 2!
d A LaTex expression showing 6! over 2!
e A LaTex expression showing 6! over 2! times 3!
f A LaTex expression showing 5! over 3!