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

This math topic focuses on solving probability problems using permutation notation (nPm). It involves simple multiplication of different permutation expressions to calculate the overall outcomes. Specifically, it provides practice with calculations for permutations of varying subsets from set sizes, across different scenarios. The problems all require an understanding of how to calculate permutations and then multiply these values to get the final probability results. These exercises aim to strengthen foundational skills in permutations, a key area in probability and combinatorial mathematics.

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

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‹…(3P2)({_6\text{P}_2}) \cdot ({_3\text{P}_2})

Probability Calculation - nPm Notation - Simple Multiplication Worksheet

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Math worksheet on 'Probability Calculation - nPm Notation - 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 ({ sub 6 \text{P} sub 2 }) times ({ sub 3 \text{P} sub 2 })
a A LaTex expression showing 1
b A LaTex expression showing 120
c A LaTex expression showing 3 over 2
d A LaTex expression showing 30
e A LaTex expression showing 180
2
What is the value of this probability expression?
A LaTex expression showing ({ sub 3 \text{P} sub 3 }) times ({ sub 6 \text{P} sub 2 })
a A LaTex expression showing 480
b A LaTex expression showing 90
c A LaTex expression showing 180
d A LaTex expression showing 1 over 60
e A LaTex expression showing 1
3
What is the value of this probability expression?
A LaTex expression showing ({ sub 4 \text{P} sub 2 }) times ({ sub 2 \text{P} sub 2 })
a A LaTex expression showing 24
b A LaTex expression showing 6
c A LaTex expression showing 8
d A LaTex expression showing 36
e A LaTex expression showing 240
4
What is the value of this probability expression?
A LaTex expression showing ({ sub 4 \text{P} sub 3 }) times ({ sub 3 \text{P} sub 2 })
a A LaTex expression showing 144
b A LaTex expression showing 6 over 5
c A LaTex expression showing 120
d A LaTex expression showing 48
e A LaTex expression showing 1 over 360
5
What is the value of this probability expression?
A LaTex expression showing ({ sub 4 \text{P} sub 3 }) times ({ sub 5 \text{P} sub 2 })
a A LaTex expression showing 24
b A LaTex expression showing 480
c A LaTex expression showing 1
d A LaTex expression showing 360
6
What is the value of this probability expression?
A LaTex expression showing ({ sub 4 \text{P} sub 2 }) times ({ sub 4 \text{P} sub 4 })
a A LaTex expression showing 1 over 120
b A LaTex expression showing 360
c A LaTex expression showing 288
d A LaTex expression showing 5 over 6
e A LaTex expression showing 48
7
What is the value of this probability expression?
A LaTex expression showing ({ sub 3 \text{P} sub 2 }) times ({ sub 4 \text{P} sub 3 })
a A LaTex expression showing 36
b A LaTex expression showing 48
c A LaTex expression showing 360
d A LaTex expression showing 144
e A LaTex expression showing 6