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Probability Calculation - nCm Notation - Simple Multiplication (Level 1)

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.

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

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Probability Calculation - nCm Notation - Simple Multiplication

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

What is the value of this probability expression?

(6C4)â‹…(4C3)({_6\text{C}_4}) \cdot ({_4\text{C}_3})

Probability Calculation - nCm Notation - Simple Multiplication Worksheet

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Math worksheet on 'Probability Calculation - nCm Notation - Simple Multiplication (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 ({ sub 5 \text{C} sub 2 }) times ({ sub 5 \text{C} sub 4 })
a A LaTex expression showing 50 over 3
b A LaTex expression showing 150
c A LaTex expression showing 75
d A LaTex expression showing 50
e A LaTex expression showing 1
2
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 2 over 5
b A LaTex expression showing 60
c A LaTex expression showing 12
d A LaTex expression showing 6
e A LaTex expression showing 18
3
What is the value of this probability expression?
A LaTex expression showing ({ sub 5 \text{C} sub 2 }) times ({ sub 2 \text{C} sub 2 })
a A LaTex expression showing 1
b A LaTex expression showing 3
c A LaTex expression showing 10
d A LaTex expression showing 5
4
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 4
b A LaTex expression showing 6
c A LaTex expression showing 60
d A LaTex expression showing 15
5
What is the value of this probability expression?
A LaTex expression showing ({ sub 6 \text{C} sub 6 }) times ({ sub 4 \text{C} sub 3 })
a A LaTex expression showing 4 over 15
b A LaTex expression showing 4
c A LaTex expression showing 1 over 6
d A LaTex expression showing 1
6
What is the value of this probability expression?
A LaTex expression showing ({ sub 5 \text{C} sub 2 }) times ({ sub 5 \text{C} sub 3 })
a A LaTex expression showing 200
b A LaTex expression showing 10
c A LaTex expression showing 100
d A LaTex expression showing 9
e A LaTex expression showing 25
7
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 300
c A LaTex expression showing 5 over 4
d A LaTex expression showing 15
e A LaTex expression showing 150