Probability Calculation - nPm Notation - Simple Division

Level 1

This math topic focuses on practicing probability calculations using the notation nPm (number of permutations of 'n' items taken 'm' at a time), with simple division involved. It's part of a larger unit on permutations and combinations in probability and statistics. Each problem presents an expression with nPm notation, requiring the calculation or simplification of probabilities derived from permutations, and offers multiple-choice answers. This topic allows learners to develop and reinforce their skills in interpreting and solving permutation-based probability expressions.

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

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Probability Calculation - nPm Notation - Simple Division Worksheet

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Probability Calculation - nPm Notation - Simple Division
1
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 5 \text{P} sub 3 }{ sub 6 \text{P} sub 2 }
a A LaTex expression showing 2
b A LaTex expression showing 1 over 6
c A LaTex expression showing 1 over 30
d A LaTex expression showing 1 over 120
e A LaTex expression showing 2 over 3
2
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 6 \text{P} sub 4 }{ sub 5 \text{P} sub 2 }
a A LaTex expression showing 18
b A LaTex expression showing 6
c A LaTex expression showing 12
d A LaTex expression showing 1
e A LaTex expression showing 1 over 20
3
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 6 \text{P} sub 2 }{ sub 3 \text{P} sub 2 }
a A LaTex expression showing 1 over 6
b A LaTex expression showing 6
c A LaTex expression showing 60
d A LaTex expression showing 30
e A LaTex expression showing 5
4
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 2 \text{P} sub 2 }{ sub 6 \text{P} sub 3 }
a A LaTex expression showing 1 over 20
b A LaTex expression showing 1 over 60
c A LaTex expression showing 2
d A LaTex expression showing 1 over 30
e A LaTex expression showing 4
5
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 4 \text{P} sub 4 }{ sub 6 \text{P} sub 4 }
a A LaTex expression showing 1 over 5
b A LaTex expression showing 1 over 15
c A LaTex expression showing 1 over 360
d A LaTex expression showing 1
6
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 6 \text{P} sub 3 }{ sub 5 \text{P} sub 3 }
a A LaTex expression showing 1 over 2
b A LaTex expression showing 120
c A LaTex expression showing 2
d A LaTex expression showing 1 over 60
7
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 4 \text{P} sub 4 }{ sub 2 \text{P} sub 2 }
a A LaTex expression showing 1 over 2
b A LaTex expression showing 24
c A LaTex expression showing 1 over 120
d A LaTex expression showing 1 over 10
e A LaTex expression showing 12
8
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 5 \text{P} sub 4 }{ sub 5 \text{P} sub 3 }
a A LaTex expression showing 24
b A LaTex expression showing 1
c A LaTex expression showing 120
d A LaTex expression showing 2