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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?

3P3(3P3)â‹…(4P2)\frac{_3\text{P}_3}{({_3\text{P}_3}) \cdot ({_4\text{P}_2})}

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 - 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 \frac{ sub 5 \text{P} sub 4 }{({ sub 3 \text{P} sub 3 }) times ({ sub 4 \text{P} sub 2 })}
a A LaTex expression showing 5 over 3
b A LaTex expression showing 30
c A LaTex expression showing 5 over 6
d A LaTex expression showing 1 over 120
e A LaTex expression showing 1 over 2
2
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 6 \text{P} sub 4 }{({ sub 4 \text{P} sub 2 }) times ({ sub 3 \text{P} sub 3 })}
a A LaTex expression showing 1 over 72
b A LaTex expression showing 60
c A LaTex expression showing 2
d A LaTex expression showing 5
e A LaTex expression showing 1 over 144
3
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 4 \text{P} sub 4 }{({ sub 4 \text{P} sub 3 }) times ({ sub 4 \text{P} sub 2 })}
a A LaTex expression showing 1 over 3
b A LaTex expression showing 1 over 12
c A LaTex expression showing 24
d A LaTex expression showing 1
4
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 over 12
b A LaTex expression showing 1 over 6
c A LaTex expression showing 1 over 3
d A LaTex expression showing 5
5
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 5 \text{P} sub 5 }{({ sub 5 \text{P} sub 3 }) times ({ sub 3 \text{P} sub 2 })}
a A LaTex expression showing 2 over 3
b A LaTex expression showing 1 over 3
c A LaTex expression showing 1 over 36
d A LaTex expression showing 1
6
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 5 \text{P} sub 5 }{({ sub 4 \text{P} sub 4 }) times ({ sub 5 \text{P} sub 2 })}
a A LaTex expression showing 240
b A LaTex expression showing 1
c A LaTex expression showing 1 over 4
d A LaTex expression showing 1 over 2
e A LaTex expression showing 1 over 480
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 }) times ({ sub 2 \text{P} sub 2 })}
a A LaTex expression showing 6
b A LaTex expression showing 24
c A LaTex expression showing 120
d A LaTex expression showing 1 over 4
e A LaTex expression showing 1