This math topic focuses on probability calculations using combinations, expressed in \( nCm \) notation, where problems involve simple multiplication of one or more combination expressions and occasionally dividing them by another combination expression. It is part of a broader unit on permutations and combinations aiming to enhance proficiency in probability and statistics. The exercises provide multiple-choice questions where learners solve for numerical values of given probability expressions. This helps in strengthening the ability to manipulate and compute factorial-based expressions fundamental to solving combinatorial probability problems.

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Probability Calculation - nCm Notation - Simple Multiplication Over Single Worksheet

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Probability Calculation - nCm Notation - Simple Multiplication Over Single
1
What is the value of this probability expression?
A LaTex expression showing \frac{({ sub 6 \text{C} sub 5 }) times ({ sub 6 \text{C} sub 6 })}{ sub 6 \text{C} sub 3 }
a A LaTex expression showing 2 over 5
b A LaTex expression showing 3 over 4
c A LaTex expression showing 3 over 10
d A LaTex expression showing 6
2
What is the value of this probability expression?
A LaTex expression showing \frac{({ sub 6 \text{C} sub 3 }) times ({ sub 5 \text{C} sub 3 })}{ sub 3 \text{C} sub 3 }
a A LaTex expression showing 100
b A LaTex expression showing 1
c A LaTex expression showing 200
d A LaTex expression showing 20
3
What is the value of this probability expression?
A LaTex expression showing \frac{({ sub 6 \text{C} sub 5 }) times ({ sub 2 \text{C} sub 2 })}{ sub 5 \text{C} sub 5 }
a A LaTex expression showing 6
b A LaTex expression showing 1
c A LaTex expression showing 1 over 5
d A LaTex expression showing 15
4
What is the value of this probability expression?
A LaTex expression showing \frac{({ sub 4 \text{C} sub 2 }) times ({ sub 6 \text{C} sub 6 })}{ sub 6 \text{C} sub 3 }
a A LaTex expression showing 3 over 4
b A LaTex expression showing 3 over 10
c A LaTex expression showing 6
d A LaTex expression showing 1 over 15
e A LaTex expression showing 1 over 20
5
What is the value of this probability expression?
A LaTex expression showing \frac{({ sub 5 \text{C} sub 3 }) times ({ sub 6 \text{C} sub 2 })}{ sub 5 \text{C} sub 2 }
a A LaTex expression showing 3 over 4
b A LaTex expression showing 6
c A LaTex expression showing 15 over 2
d A LaTex expression showing 15
e A LaTex expression showing 10
6
What is the value of this probability expression?
A LaTex expression showing \frac{({ sub 3 \text{C} sub 3 }) times ({ sub 3 \text{C} sub 3 })}{ sub 6 \text{C} sub 5 }
a A LaTex expression showing 1 over 6
b A LaTex expression showing 1 over 90
c A LaTex expression showing 1
d A LaTex expression showing 1 over 15
7
What is the value of this probability expression?
A LaTex expression showing \frac{({ sub 5 \text{C} sub 2 }) times ({ sub 4 \text{C} sub 2 })}{ sub 6 \text{C} sub 5 }
a A LaTex expression showing 5 over 2
b A LaTex expression showing 4
c A LaTex expression showing 60
d A LaTex expression showing 1
e A LaTex expression showing 10
8
What is the value of this probability expression?
A LaTex expression showing \frac{({ sub 5 \text{C} sub 4 }) times ({ sub 4 \text{C} sub 3 })}{ sub 4 \text{C} sub 2 }
a A LaTex expression showing 2 over 3
b A LaTex expression showing 5 over 6
c A LaTex expression showing 10
d A LaTex expression showing 5 over 3
e A LaTex expression showing 10 over 3