Probability nPm Notatio

Description to Value (Level 1)

This math topic focuses on understanding and calculating permutations, denoted as nPm, where combinations of items are chosen in a specific order from a larger set. Specifically, it involves identifying the number of ways to arrange a subset of items from a set, practicing the permutation formula which is a fundamental concept in probability and statistics. Problems include varying sizes of groups and selections, enhancing the learner's ability to apply permutation concepts to diverse scenarios. The goal is to calculate the correct number of permutations for given descriptions of selecting ordered options from a fixed group size.

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 options how many ways are there to choose 4 options in a specific order?

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Probability nPm Notation - Description to Value Worksheet

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Math worksheet on 'Probability nPm Notation - Description to Value (Level 1)'. Part of a broader unit on 'Probability and Statistics - Binomial Notation Intro' Learn online: app.mobius.academy/math/units/probability_and_statistics_probability_with_binomial_notation_intro/
1
Choose 4 options in a specific order from a group of 5 options
Select the correct value for when the described situation is calculated
a A LaTex expression showing 120 over 1
b A LaTex expression showing 120 over 24
c A LaTex expression showing 24 over 1
d A LaTex expression showing 120 over 6
2
From a group of 4 options how many ways are there to choose 4 options in a specific order?
Select the correct value for when the described situation is calculated
a A LaTex expression showing 6 over 1
b A LaTex expression showing 24 over 24
c A LaTex expression showing 120 over 2
d A LaTex expression showing 720 over 24
e A LaTex expression showing 120 over 6
f A LaTex expression showing 24 over 1
3
From a group of 5 options how many ways are there to choose 3 options in a specific order?
Select the correct value for when the described situation is calculated
a A LaTex expression showing 6 over 1
b A LaTex expression showing 120 over 1
c A LaTex expression showing 120 over 2
d A LaTex expression showing 120 over 12
4
With a group of 6 items, if you choose 5 in a specific order, how many permutations are possible?
Select the correct value for when the described situation is calculated
a A LaTex expression showing 120 over 1
b A LaTex expression showing 40320 over 24
c A LaTex expression showing 720 over 1
d A LaTex expression showing 720 over 120
5
With a group of 6 items, if you choose 3 in a specific order, how many permutations are possible?
Select the correct value for when the described situation is calculated
a A LaTex expression showing 40320 over 6
b A LaTex expression showing 40320 over 24
c A LaTex expression showing 720 over 36
d A LaTex expression showing 720 over 6
e A LaTex expression showing 6 over 1
f A LaTex expression showing 24 over 1
6
Choose 2 options in a specific order from a group of 3 options
Select the correct value for when the described situation is calculated
a A LaTex expression showing 6 over 1
b A LaTex expression showing 24 over 1
c A LaTex expression showing 6 over 2
d A LaTex expression showing 2 over 1
e A LaTex expression showing 120 over 1
7
With a group of 6 items, if you choose 4 in a specific order, how many permutations are possible?
Select the correct value for when the described situation is calculated
a A LaTex expression showing 24 over 1
b A LaTex expression showing 720 over 2
c A LaTex expression showing 5040 over 2
d A LaTex expression showing 720 over 48