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

This math topic focuses on practicing probability calculations using the notation nPm (number of permutations of 'n' items taken 'm' at a time), with simple division involved. It's part of a larger unit on permutations and combinations in probability and statistics. Each problem presents an expression with nPm notation, requiring the calculation or simplification of probabilities derived from permutations, and offers multiple-choice answers. This topic allows learners to develop and reinforce their skills in interpreting and solving permutation-based probability expressions.

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

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Probability Calculation - nPm Notation - Simple Division

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

What is the value of this probability expression?

6P45P5\frac{_6\text{P}_4}{_5\text{P}_5}

Probability Calculation - nPm Notation - Simple Division Worksheet

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Math worksheet on 'Probability Calculation - nPm Notation - Simple Division (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 2 \text{P} sub 2 }{ sub 2 \text{P} sub 2 }
a A LaTex expression showing 6
b A LaTex expression showing 2
c A LaTex expression showing 1 over 6
d A LaTex expression showing 120
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 }{ sub 4 \text{P} sub 3 }
a A LaTex expression showing 6
b A LaTex expression showing 1 over 4
c A LaTex expression showing 1 over 8
d A LaTex expression showing 1 over 24
3
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 6 \text{P} sub 4 }{ sub 3 \text{P} sub 2 }
a A LaTex expression showing 1 over 6
b A LaTex expression showing 360
c A LaTex expression showing 60
d A LaTex expression showing 1
4
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 6 \text{P} sub 2 }{ sub 4 \text{P} sub 4 }
a A LaTex expression showing 1 over 16
b A LaTex expression showing 5 over 4
c A LaTex expression showing 1
d A LaTex expression showing 1 over 360
5
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 }
a A LaTex expression showing 12
b A LaTex expression showing 1 over 10
c A LaTex expression showing 24
d A LaTex expression showing 1 over 2
e A LaTex expression showing 1 over 120
6
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 6 \text{P} sub 4 }{ sub 4 \text{P} sub 4 }
a A LaTex expression showing 20
b A LaTex expression showing 2 over 5
c A LaTex expression showing 15
d A LaTex expression showing 1
e A LaTex expression showing 360
7
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 5 \text{P} sub 3 }{ sub 6 \text{P} sub 2 }
a A LaTex expression showing 1 over 6
b A LaTex expression showing 1 over 30
c A LaTex expression showing 1 over 120
d A LaTex expression showing 2 over 3
e A LaTex expression showing 2