This math topic focuses on the calculation of probabilities using the nCm notation, also known as the combination formula. The problems provide various expressions in nCm notation and ask for the evaluation of these combinations. The skills practiced include understanding and applying the combination formula to solve problems that involve choosing a subset of elements from a larger set. Each question presents multiple-choice answers, reinforcing the ability to perform calculations related to permutations and combinations, essential concepts in probability and statistics.

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

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Probability Calculation - nCm Notation - Simple Single Worksheet

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