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Probability Counting

Choose N Letters from M, Count of Favorable Outcomes - To Bracket Notation (Level 1)

This math topic focuses on the application of probability in selecting a certain number of items from a set, presenting the outcomes in binomial coefficient or bracket notation. The problems require determining and expressing the number of ways to select vowels from various letter sets using binomial notation, which introduces beginners to combinatorial concepts and probability calculations. The overall theme revolves around basic probability and statistics, specifically dealing with favorable counts of selecting items from a set.

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

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Probability Counting - Choose N Letters from M, Count of Favorable Outcomes - To Bracket Notation Worksheet

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Probability Counting - Choose N Letters from M, Count of Favorable Outcomes - To Bracket Notation
1
How many ways can 2 vowels be drawn from this set? Show as a binomial coefficient (bracket notation).
An svg image showing a math problem
a A LaTex expression showing {3\choose3}
b A LaTex expression showing {3\choose2}
c A LaTex expression showing {5\choose2}
d A LaTex expression showing {2\choose3}
e A LaTex expression showing {5\choose3}
2
How many ways can 2 vowels be drawn from this set? Show as a binomial coefficient (bracket notation).
An svg image showing a math problem
a A LaTex expression showing {3\choose3}
b A LaTex expression showing {5\choose2}
c A LaTex expression showing {4\choose4}
d A LaTex expression showing {5\choose4}
e A LaTex expression showing {4\choose2}
f A LaTex expression showing {2\choose4}
3
How many ways can 2 vowels be drawn from this set? Show as a binomial coefficient (bracket notation).
An svg image showing a math problem
a A LaTex expression showing {5\choose3}
b A LaTex expression showing {3\choose3}
c A LaTex expression showing {3\choose2}
d A LaTex expression showing {4\choose2}
e A LaTex expression showing {2\choose4}
f A LaTex expression showing {4\choose4}
4
How many ways can 2 vowels be drawn from this set? Show as a binomial coefficient (bracket notation).
An svg image showing a math problem
a A LaTex expression showing {4\choose3}
b A LaTex expression showing {2\choose3}
c A LaTex expression showing {4\choose2}
d A LaTex expression showing {5\choose2}
e A LaTex expression showing {3\choose3}
f A LaTex expression showing {3\choose2}
5
How many ways can 2 vowels be drawn from this set? Show as a binomial coefficient (bracket notation).
An svg image showing a math problem
a A LaTex expression showing {4\choose2}
b A LaTex expression showing {5\choose2}
c A LaTex expression showing {2\choose3}
d A LaTex expression showing {3\choose2}
e A LaTex expression showing {4\choose4}
f A LaTex expression showing {3\choose3}
6
How many ways can 2 vowels be drawn from this set? Show as a binomial coefficient (bracket notation).
An svg image showing a math problem
a A LaTex expression showing {3\choose2}
b A LaTex expression showing {2\choose4}
c A LaTex expression showing {3\choose3}
d A LaTex expression showing {6\choose2}
e A LaTex expression showing {4\choose2}
f A LaTex expression showing {5\choose2}
7
How many ways can 2 vowels be drawn from this set? Show as a binomial coefficient (bracket notation).
An svg image showing a math problem
a A LaTex expression showing {5\choose2}
b A LaTex expression showing {3\choose2}
c A LaTex expression showing {4\choose2}
d A LaTex expression showing {2\choose3}
e A LaTex expression showing {3\choose3}
8
How many ways can 3 vowels be drawn from this set? Show as a binomial coefficient (bracket notation).
An svg image showing a math problem
a A LaTex expression showing {3\choose2}
b A LaTex expression showing {3\choose3}
c A LaTex expression showing {4\choose3}
d A LaTex expression showing {6\choose5}
e A LaTex expression showing {4\choose2}
f A LaTex expression showing {3\choose4}