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 Worksheet

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Probability Calculation - nPm Notation - Simple Single
1
What is the value of this probability expression?
A LaTex expression showing sub 6 \text{P} sub 3
a A LaTex expression showing 1 over 4
b A LaTex expression showing 1
c A LaTex expression showing 120
d A LaTex expression showing 60
2
What is the value of this probability expression?
A LaTex expression showing sub 4 \text{P} sub 3
a A LaTex expression showing 1 over 6
b A LaTex expression showing 24
c A LaTex expression showing 4 over 5
d A LaTex expression showing 1
3
What is the value of this probability expression?
A LaTex expression showing sub 4 \text{P} sub 2
a A LaTex expression showing 1 over 360
b A LaTex expression showing 1
c A LaTex expression showing 4
d A LaTex expression showing 12
4
What is the value of this probability expression?
A LaTex expression showing sub 5 \text{P} sub 2
a A LaTex expression showing 20
b A LaTex expression showing 1
c A LaTex expression showing 12
d A LaTex expression showing 10
e A LaTex expression showing 120
5
What is the value of this probability expression?
A LaTex expression showing sub 4 \text{P} sub 4
a A LaTex expression showing 1 over 5
b A LaTex expression showing 360
c A LaTex expression showing 1
d A LaTex expression showing 24
6
What is the value of this probability expression?
A LaTex expression showing sub 5 \text{P} sub 5
a A LaTex expression showing 1
b A LaTex expression showing 5
c A LaTex expression showing 1 over 40
d A LaTex expression showing 120
7
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 30
c A LaTex expression showing 72
d A LaTex expression showing 120
8
What is the value of this probability expression?
A LaTex expression showing sub 3 \text{P} sub 3
a A LaTex expression showing 1
b A LaTex expression showing 6
c A LaTex expression showing 360
d A LaTex expression showing 1 over 120
e A LaTex expression showing 120