Probability Calculation - nPm Notation - Single Over Simple Multiplication

Level 1

This math topic focuses on calculating probabilities using permutations and their operation in various expressions. It provides practice in solving problems using `nPm` notation, which denotes the number of permutations of `n` items taken `m` at a time. The expressions involve operations like multiplication to simplify probability components. This subject helps students deepen their understanding of permutations and enhances their computational skills involving factorial-based computations in probability settings.

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

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Probability Calculation - nPm Notation - Single Over Simple Multiplication

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


What is the value of this probability expression?

5P5(5P3)(3P2)\frac{_5\text{P}_5}{({_5\text{P}_3}) \cdot ({_3\text{P}_2})}

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Probability Calculation - nPm Notation - Single Over Simple Multiplication Worksheet

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Math worksheet on 'Probability Calculation - nPm Notation - Single Over Simple Multiplication (Level 1)'. Part of a broader unit on 'Probability and Statistics - Permutations and Combinations Calculating - Practice' Learn online: app.mobius.academy/math/units/probability_and_statistics_permutations_and_combinations_calculation_practice/
1
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 4 \text{P} sub 3 }{({ sub 2 \text{P} sub 2 }) times ({ sub 5 \text{P} sub 4 })}
a A LaTex expression showing 1 over 10
b A LaTex expression showing 1 over 40
c A LaTex expression showing 12
d A LaTex expression showing 24
e A LaTex expression showing 4
2
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 5 \text{P} sub 2 }{({ sub 4 \text{P} sub 3 }) times ({ sub 4 \text{P} sub 2 })}
a A LaTex expression showing 5 over 12
b A LaTex expression showing 1 over 30
c A LaTex expression showing 5 over 6
d A LaTex expression showing 5 over 72
e A LaTex expression showing 5 over 18
3
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 5 \text{P} sub 4 }{({ sub 3 \text{P} sub 3 }) times ({ sub 5 \text{P} sub 2 })}
a A LaTex expression showing 1 over 360
b A LaTex expression showing 1 over 24
c A LaTex expression showing 1 over 120
d A LaTex expression showing 1
e A LaTex expression showing 120
4
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 4 \text{P} sub 3 }{({ sub 5 \text{P} sub 4 }) times ({ sub 2 \text{P} sub 2 })}
a A LaTex expression showing 1
b A LaTex expression showing 3 over 5
c A LaTex expression showing 1 over 10
d A LaTex expression showing 24
e A LaTex expression showing 1 over 360
5
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 5 \text{P} sub 3 }{({ sub 4 \text{P} sub 2 }) times ({ sub 6 \text{P} sub 2 })}
a A LaTex expression showing 5
b A LaTex expression showing 5 over 12
c A LaTex expression showing 1 over 6
d A LaTex expression showing 1 over 3
6
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 5 \text{P} sub 4 }{({ sub 4 \text{P} sub 4 }) times ({ sub 4 \text{P} sub 2 })}
a A LaTex expression showing 30
b A LaTex expression showing 120
c A LaTex expression showing 1 over 120
d A LaTex expression showing 5 over 12
e A LaTex expression showing 5 over 6
7
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 3 \text{P} sub 3 }{({ sub 3 \text{P} sub 3 }) times ({ sub 4 \text{P} sub 2 })}
a A LaTex expression showing 1 over 12
b A LaTex expression showing 1 over 30
c A LaTex expression showing 1
d A LaTex expression showing 6
e A LaTex expression showing 120