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

This math topic focuses on calculating the number of ways cards can be drawn from a set using binomial coefficients. It includes scenarios where different quantities of cards are selected and asks users to represent the count of possible outcomes in bracket notation. This falls under a larger education unit on Probability and Statistics, specifically an introduction to Binomial Notation. The problems posed require understanding and applying combinatorial principles to determine the total outcomes when choosing cards, crucial for solving basic probability problems involving combinations.

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

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Choose N Cards 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 cards be drawn from this set? Show as a binomial coefficient (bracket notation).

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

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Math worksheet on 'Probability Counting - Choose N Cards 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 2 cards be drawn from this set? Show as a binomial coefficient (bracket notation).
An svg image showing a math problem
a A LaTex expression showing {2\choose5}
b A LaTex expression showing {6\choose2}
c A LaTex expression showing {3\choose2}
d A LaTex expression showing {7\choose2}
e A LaTex expression showing {5\choose2}
f A LaTex expression showing {7\choose3}
2
How many total ways can 3 cards 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\choose3}
b A LaTex expression showing {5\choose5}
c A LaTex expression showing {6\choose4}
d A LaTex expression showing {3\choose7}
e A LaTex expression showing {7\choose2}
f A LaTex expression showing {6\choose5}
3
How many total ways can 3 cards 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 {6\choose3}
c A LaTex expression showing {3\choose6}
d A LaTex expression showing {5\choose2}
e A LaTex expression showing {7\choose4}
f A LaTex expression showing {4\choose2}
4
How many total ways can 2 cards 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 {7\choose3}
c A LaTex expression showing {3\choose2}
d A LaTex expression showing {5\choose2}
e A LaTex expression showing {4\choose3}
f A LaTex expression showing {2\choose5}
5
How many total ways can 2 cards 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\choose4}
c A LaTex expression showing {5\choose3}
d A LaTex expression showing {7\choose2}
e A LaTex expression showing {2\choose6}
f A LaTex expression showing {8\choose2}
6
How many total ways can 3 cards 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 {5\choose3}
c A LaTex expression showing {3\choose5}
d A LaTex expression showing {6\choose5}
e A LaTex expression showing {5\choose2}
f A LaTex expression showing {4\choose4}
7
How many total ways can 2 cards be drawn from this set? Show as a binomial coefficient (bracket notation).
An svg image showing a math problem
a A LaTex expression showing {2\choose7}
b A LaTex expression showing {8\choose2}
c A LaTex expression showing {6\choose2}
d A LaTex expression showing {7\choose2}
e A LaTex expression showing {6\choose4}
f A LaTex expression showing {8\choose4}