This math topic focuses on probability calculations using the combination formula, commonly denoted as nCm or "n choose m." It includes problems that require calculating values of expressions involving the combination operation and simple multiplication. These problems help develop skills in understanding and computing permutations and combinations, which are fundamental concepts in probability and statistics. Each problem is presented with multiple-choice answers, reinforcing the concept through practical examples.

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Probability Calculation - nCm Notation - Simple Multiplication Worksheet

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Probability Calculation - nCm Notation - Simple Multiplication
1
What is the value of this probability expression?
A LaTex expression showing ({ sub 2 \text{C} sub 2 }) times ({ sub 6 \text{C} sub 5 })
a A LaTex expression showing 60
b A LaTex expression showing 12
c A LaTex expression showing 2 over 5
d A LaTex expression showing 18
e A LaTex expression showing 6
2
What is the value of this probability expression?
A LaTex expression showing ({ sub 6 \text{C} sub 4 }) times ({ sub 6 \text{C} sub 6 })
a A LaTex expression showing 15
b A LaTex expression showing 4
c A LaTex expression showing 1
d A LaTex expression showing 6
3
What is the value of this probability expression?
A LaTex expression showing ({ sub 4 \text{C} sub 4 }) times ({ sub 5 \text{C} sub 4 })
a A LaTex expression showing 1
b A LaTex expression showing 1 over 2
c A LaTex expression showing 1 over 40
d A LaTex expression showing 5
4
What is the value of this probability expression?
A LaTex expression showing ({ sub 3 \text{C} sub 2 }) times ({ sub 5 \text{C} sub 5 })
a A LaTex expression showing 3
b A LaTex expression showing 1 over 2
c A LaTex expression showing 1
d A LaTex expression showing 6
5
What is the value of this probability expression?
A LaTex expression showing ({ sub 4 \text{C} sub 4 }) times ({ sub 2 \text{C} sub 2 })
a A LaTex expression showing 1 over 3
b A LaTex expression showing 1 over 150
c A LaTex expression showing 120
d A LaTex expression showing 1
6
What is the value of this probability expression?
A LaTex expression showing ({ sub 2 \text{C} sub 2 }) times ({ sub 6 \text{C} sub 4 })
a A LaTex expression showing 1
b A LaTex expression showing 15
c A LaTex expression showing 90
d A LaTex expression showing 80
7
What is the value of this probability expression?
A LaTex expression showing ({ sub 6 \text{C} sub 4 }) times ({ sub 4 \text{C} sub 3 })
a A LaTex expression showing 6
b A LaTex expression showing 15
c A LaTex expression showing 60
d A LaTex expression showing 4
8
What is the value of this probability expression?
A LaTex expression showing ({ sub 6 \text{C} sub 4 }) times ({ sub 5 \text{C} sub 3 })
a A LaTex expression showing 1
b A LaTex expression showing 5 over 4
c A LaTex expression showing 150
d A LaTex expression showing 15
e A LaTex expression showing 300