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.

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Probability Calculation - nPm Notation - Single Over Simple Multiplication Worksheet

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Probability Calculation - nPm Notation - Single Over Simple Multiplication
1
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 4 \text{P} sub 2 }{({ sub 4 \text{P} sub 4 }) times ({ sub 4 \text{P} sub 2 })}
a A LaTex expression showing 1 over 288
b A LaTex expression showing 1 over 24
c A LaTex expression showing 1 over 240
d A LaTex expression showing 12
e A LaTex expression showing 1
2
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 1
b A LaTex expression showing 1 over 4
c A LaTex expression showing 1 over 2
d A LaTex expression showing 240
e A LaTex expression showing 1 over 480
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
b A LaTex expression showing 1 over 24
c A LaTex expression showing 120
d A LaTex expression showing 1 over 120
e A LaTex expression showing 1 over 360
4
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 5 \text{P} sub 5 }{({ sub 2 \text{P} sub 2 }) times ({ sub 5 \text{P} sub 2 })}
a A LaTex expression showing 3
b A LaTex expression showing 10
c A LaTex expression showing 1
d A LaTex expression showing 1 over 40
5
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 4 \text{P} sub 3 }{({ sub 4 \text{P} sub 2 }) times ({ sub 2 \text{P} sub 2 })}
a A LaTex expression showing 1 over 24
b A LaTex expression showing 24
c A LaTex expression showing 1 over 2
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 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
c A LaTex expression showing 1 over 36
d A LaTex expression showing 1 over 3
7
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 1 over 120
b A LaTex expression showing 30
c A LaTex expression showing 1 over 2
d A LaTex expression showing 5 over 3
e A LaTex expression showing 5 over 6
8
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 6 \text{P} sub 3 }{({ sub 3 \text{P} sub 2 }) times ({ sub 4 \text{P} sub 2 })}
a A LaTex expression showing 10 over 3
b A LaTex expression showing 5
c A LaTex expression showing 20
d A LaTex expression showing 5 over 3
e A LaTex expression showing 1