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Probability Calculation - nPm Notation - Simple Single (Level 1)

This math topic provides practice in calculating probabilities using the permutation notation (nPm), specifically focusing on simpler single-level problems. It introduces students to the fundamental concept of permutations, where they must determine the number of ways to arrange a subset of items from a larger set. Questions involve calculating the value of specific permutation expressions such as '4P4', '4P3', '6P2', '6P3', '3P3', '5P2', and '5P5'. Each problem offers multiple choice answers, helping students apply the principles of permutations to find exact values.

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

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Probability Calculation - nPm Notation - Simple Single

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What is the value of this probability expression?

4P3_4\text{P}_3

Probability Calculation - nPm Notation - Simple Single Worksheet

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Math worksheet on 'Probability Calculation - nPm Notation - Simple Single (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
What is the value of this probability expression?
A LaTex expression showing sub 4 \text{P} sub 3
a A LaTex expression showing 1
b A LaTex expression showing 1 over 120
c A LaTex expression showing 120
d A LaTex expression showing 24
e A LaTex expression showing 1 over 15
2
What is the value of this probability expression?
A LaTex expression showing sub 4 \text{P} sub 4
a A LaTex expression showing 360
b A LaTex expression showing 24
c A LaTex expression showing 1
d A LaTex expression showing 1 over 5
3
What is the value of this probability expression?
A LaTex expression showing sub 6 \text{P} sub 2
a A LaTex expression showing 1 over 12
b A LaTex expression showing 72
c A LaTex expression showing 120
d A LaTex expression showing 30
4
What is the value of this probability expression?
A LaTex expression showing sub 3 \text{P} sub 3
a A LaTex expression showing 1 over 288
b A LaTex expression showing 1
c A LaTex expression showing 60
d A LaTex expression showing 6
5
What is the value of this probability expression?
A LaTex expression showing sub 6 \text{P} sub 3
a A LaTex expression showing 1
b A LaTex expression showing 20
c A LaTex expression showing 1 over 3
d A LaTex expression showing 360
e A LaTex expression showing 120
6
What is the value of this probability expression?
A LaTex expression showing sub 5 \text{P} sub 2
a A LaTex expression showing 120
b A LaTex expression showing 60
c A LaTex expression showing 240
d A LaTex expression showing 20
e A LaTex expression showing 30
7
What is the value of this probability expression?
A LaTex expression showing sub 5 \text{P} sub 4
a A LaTex expression showing 1
b A LaTex expression showing 10
c A LaTex expression showing 3
d A LaTex expression showing 120
e A LaTex expression showing 6