This math topic focuses on calculating probabilities using the nCm notation, which refers to combinations or binomial coefficients. It involves solving problems that require dividing one combination by the product of other combinations. The questions are structured to challenge understanding and application of permutations and combinations within probability calculations. Each problem provides an expression in the nCm format with multiple answers, among which students are asked to identify the correct one. These problems are suitable for learners aiming to deepen their grasp of probability and combinatorial concepts.

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Probability Calculation - nCm Notation - Single Over Simple Multiplication Worksheet

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Probability Calculation - nCm Notation - Single Over Simple Multiplication
1
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 6 \text{C} sub 5 }{({ sub 3 \text{C} sub 3 }) times ({ sub 4 \text{C} sub 2 })}
a A LaTex expression showing 1 over 6
b A LaTex expression showing 3 over 2
c A LaTex expression showing 1 over 10
d A LaTex expression showing 1
e A LaTex expression showing 6
2
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 4 \text{C} sub 3 }{({ sub 5 \text{C} sub 5 }) times ({ sub 3 \text{C} sub 3 })}
a A LaTex expression showing 4 over 3
b A LaTex expression showing 6
c A LaTex expression showing 4
d A LaTex expression showing 20
e A LaTex expression showing 2 over 3
3
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 3 \text{C} sub 3 }{({ sub 4 \text{C} sub 3 }) times ({ sub 5 \text{C} sub 5 })}
a A LaTex expression showing 1 over 24
b A LaTex expression showing 1 over 4
c A LaTex expression showing 1 over 6
d A LaTex expression showing 5
e A LaTex expression showing 1 over 20
4
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 6 \text{C} sub 2 }{({ sub 4 \text{C} sub 4 }) times ({ sub 5 \text{C} sub 2 })}
a A LaTex expression showing 1 over 10
b A LaTex expression showing 3 over 2
c A LaTex expression showing 5
d A LaTex expression showing 2
e A LaTex expression showing 1 over 225
5
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 6 \text{C} sub 2 }{({ sub 6 \text{C} sub 6 }) times ({ sub 3 \text{C} sub 2 })}
a A LaTex expression showing 1 over 3
b A LaTex expression showing 5
c A LaTex expression showing 2
d A LaTex expression showing 15
6
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 6 \text{C} sub 6 }{({ sub 6 \text{C} sub 2 }) times ({ sub 6 \text{C} sub 2 })}
a A LaTex expression showing 1 over 225
b A LaTex expression showing 2 over 45
c A LaTex expression showing 1 over 90
d A LaTex expression showing 1
e A LaTex expression showing 1 over 15
7
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 4 \text{C} sub 4 }{({ sub 3 \text{C} sub 2 }) times ({ sub 3 \text{C} sub 3 })}
a A LaTex expression showing 1
b A LaTex expression showing 5
c A LaTex expression showing 1 over 3
d A LaTex expression showing 1 over 10
e A LaTex expression showing 1 over 60
8
What is the value of this probability expression?
A LaTex expression showing \frac{ sub 5 \text{C} sub 4 }{({ sub 5 \text{C} sub 4 }) times ({ sub 5 \text{C} sub 2 })}
a A LaTex expression showing 1 over 225
b A LaTex expression showing 1 over 10
c A LaTex expression showing 1 over 90
d A LaTex expression showing 1 over 20
e A LaTex expression showing 5 over 3