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

This math topic focuses on calculating probabilities using the permutation notation \(n P m\), and simple multiplication of such expressions. The problems require evaluating complex fractions composed of products of permutations divided by another permutation. This involves understanding and applying the formula for permutations to simplify and compute the ratio, which is crucial for solving probability problems in probability and statistics, specifically within the context of permutations and combinations.

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

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Probability Calculation - nPm Notation - Simple Multiplication Over Single

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

What is the value of this probability expression?

(6P2)â‹…(2P2)4P3\frac{({_6\text{P}_2}) \cdot ({_2\text{P}_2})}{_4\text{P}_3}

Probability Calculation - nPm Notation - Simple Multiplication Over Single Worksheet

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Math worksheet on 'Probability Calculation - nPm Notation - Simple Multiplication Over 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 \frac{({ sub 3 \text{P} sub 2 }) times ({ sub 5 \text{P} sub 2 })}{ sub 6 \text{P} sub 3 }
a A LaTex expression showing 1 over 20
b A LaTex expression showing 3 over 2
c A LaTex expression showing 1 over 3
d A LaTex expression showing 1 over 2
e A LaTex expression showing 1
2
What is the value of this probability expression?
A LaTex expression showing \frac{({ sub 3 \text{P} sub 2 }) times ({ sub 4 \text{P} sub 2 })}{ sub 5 \text{P} sub 4 }
a A LaTex expression showing 72
b A LaTex expression showing 3 over 5
c A LaTex expression showing 1 over 20
d A LaTex expression showing 1 over 60
e A LaTex expression showing 18
3
What is the value of this probability expression?
A LaTex expression showing \frac{({ sub 4 \text{P} sub 2 }) times ({ sub 3 \text{P} sub 3 })}{ sub 4 \text{P} sub 4 }
a A LaTex expression showing 1 over 5
b A LaTex expression showing 3
c A LaTex expression showing 72
d A LaTex expression showing 1 over 24
4
What is the value of this probability expression?
A LaTex expression showing \frac{({ sub 5 \text{P} sub 2 }) times ({ sub 4 \text{P} sub 3 })}{ sub 3 \text{P} sub 3 }
a A LaTex expression showing 4 over 3
b A LaTex expression showing 360
c A LaTex expression showing 80
d A LaTex expression showing 160
e A LaTex expression showing 1
5
What is the value of this probability expression?
A LaTex expression showing \frac{({ sub 6 \text{P} sub 2 }) times ({ sub 2 \text{P} sub 2 })}{ sub 4 \text{P} sub 3 }
a A LaTex expression showing 5 over 2
b A LaTex expression showing 60
c A LaTex expression showing 1
d A LaTex expression showing 3 over 5
e A LaTex expression showing 5 over 3
6
What is the value of this probability expression?
A LaTex expression showing \frac{({ sub 4 \text{P} sub 3 }) times ({ sub 5 \text{P} sub 2 })}{ sub 4 \text{P} sub 3 }
a A LaTex expression showing 120
b A LaTex expression showing 10 over 3
c A LaTex expression showing 20
d A LaTex expression showing 24
7
What is the value of this probability expression?
A LaTex expression showing \frac{({ sub 2 \text{P} sub 2 }) times ({ sub 3 \text{P} sub 3 })}{ sub 5 \text{P} sub 5 }
a A LaTex expression showing 120
b A LaTex expression showing 1 over 60
c A LaTex expression showing 360
d A LaTex expression showing 1 over 10
e A LaTex expression showing 1