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.

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Probability Calculation - nPm Notation - Simple Multiplication Over Single Worksheet

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Probability Calculation - nPm Notation - Simple Multiplication Over Single
1
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 24
b A LaTex expression showing 20
c A LaTex expression showing 10 over 3
d A LaTex expression showing 120
2
What is the value of this probability expression?
A LaTex expression showing \frac{({ sub 5 \text{P} sub 2 }) times ({ sub 3 \text{P} sub 2 })}{ sub 6 \text{P} sub 3 }
a A LaTex expression showing 2
b A LaTex expression showing 3 over 10
c A LaTex expression showing 20
d A LaTex expression showing 1
e A LaTex expression showing 60
3
What is the value of this probability expression?
A LaTex expression showing \frac{({ sub 3 \text{P} sub 3 }) times ({ sub 4 \text{P} sub 2 })}{ sub 6 \text{P} sub 2 }
a A LaTex expression showing 12 over 5
b A LaTex expression showing 6
c A LaTex expression showing 1 over 360
d A LaTex expression showing 1 over 5
4
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 1 over 60
b A LaTex expression showing 1
c A LaTex expression showing 120
d A LaTex expression showing 1 over 10
e A LaTex expression showing 360
5
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 1
c A LaTex expression showing 160
d A LaTex expression showing 80
e A LaTex expression showing 360
6
What is the value of this probability expression?
A LaTex expression showing \frac{({ sub 6 \text{P} sub 2 }) times ({ sub 4 \text{P} sub 2 })}{ sub 3 \text{P} sub 2 }
a A LaTex expression showing 1 over 120
b A LaTex expression showing 12
c A LaTex expression showing 40
d A LaTex expression showing 1 over 6
e A LaTex expression showing 60
7
What is the value of this probability expression?
A LaTex expression showing \frac{({ sub 3 \text{P} sub 3 }) times ({ 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 5
c A LaTex expression showing 30
d A LaTex expression showing 180
e A LaTex expression showing 1 over 360
8
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 3 over 2
b A LaTex expression showing 1 over 2
c A LaTex expression showing 1
d A LaTex expression showing 1 over 20
e A LaTex expression showing 1 over 3