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

This math topic focuses on calculating the total number of ways to draw a set number of letter tiles from a given set using binomial coefficients, a key concept in probability and combinatorics. Each problem in the topic requires the use of bracket notation to represent the solutions as binomial coefficients. The problems vary by the number of draws (either 2 or 3 tiles) and the total quantity of available tiles. This introductory exploration into probability and statistics encourages understanding combinatorial calculation basics via real-world inspired scenarios.

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

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Choose N Letters from M, Count of Total Outcomes - To Bracket Notation

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

How many total ways can 2 letter tiles be drawn from this set? Show as a binomial coefficient (bracket notation).

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

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Math worksheet on 'Probability Counting - Choose N Letters from M, Count of Total Outcomes - To Bracket Notation (Level 1)'. Part of a broader unit on 'Probability and Statistics - Permutations and Combinations Calculating - Practice' Learn online: app.mobius.academy/math/units/probability_and_statistics_permutations_and_combinations_calculation_practice/
1
How many total ways can 3 letter tiles be drawn from this set? Show as a binomial coefficient (bracket notation).
An svg image showing a math problem
a A LaTex expression showing {6\choose2}
b A LaTex expression showing {7\choose5}
c A LaTex expression showing {5\choose4}
d A LaTex expression showing {3\choose6}
e A LaTex expression showing {6\choose4}
f A LaTex expression showing {6\choose3}
2
How many total ways can 2 letter tiles be drawn from this set? Show as a binomial coefficient (bracket notation).
An svg image showing a math problem
a A LaTex expression showing {6\choose2}
b A LaTex expression showing {7\choose2}
c A LaTex expression showing {8\choose2}
d A LaTex expression showing {2\choose6}
e A LaTex expression showing {8\choose4}
f A LaTex expression showing {7\choose4}
3
How many total ways can 2 letter tiles 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\choose4}
b A LaTex expression showing {5\choose2}
c A LaTex expression showing {9\choose2}
d A LaTex expression showing {7\choose2}
e A LaTex expression showing {2\choose7}
f A LaTex expression showing {8\choose3}
4
How many total ways can 3 letter tiles be drawn from this set? Show as a binomial coefficient (bracket notation).
An svg image showing a math problem
a A LaTex expression showing {6\choose3}
b A LaTex expression showing {6\choose4}
c A LaTex expression showing {3\choose6}
d A LaTex expression showing {7\choose4}
e A LaTex expression showing {6\choose2}
f A LaTex expression showing {6\choose5}
5
How many total ways can 3 letter tiles be drawn from this set? Show as a binomial coefficient (bracket notation).
An svg image showing a math problem
a A LaTex expression showing {9\choose2}
b A LaTex expression showing {5\choose2}
c A LaTex expression showing {6\choose4}
d A LaTex expression showing {7\choose3}
e A LaTex expression showing {6\choose2}
f A LaTex expression showing {8\choose3}
6
How many total ways can 2 letter tiles 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 {5\choose3}
c A LaTex expression showing {2\choose6}
d A LaTex expression showing {4\choose2}
e A LaTex expression showing {8\choose2}
f A LaTex expression showing {6\choose2}
7
How many total ways can 2 letter tiles be drawn from this set? Show as a binomial coefficient (bracket notation).
An svg image showing a math problem
a A LaTex expression showing {7\choose2}
b A LaTex expression showing {9\choose2}
c A LaTex expression showing {8\choose2}
d A LaTex expression showing {2\choose7}
e A LaTex expression showing {6\choose4}
f A LaTex expression showing {5\choose2}