Probability Counting

Choose N Cards from M, Count of Favorable Outcomes - To Factorial Equation (Level 1)

These math problems focus on probability and combinatorics, primarily dealing with determining the number of ways to select a specific number of cards (e.g., two 7s, two Kings) from a set, with answers expressed in factorial terms. This is part of introducing binomial notation, which is a fundamental aspect of probability and statistics. Each problem requires calculations using factorial equations to figure out the count of favorable outcomes when choosing a certain number of specific cards from a deck.

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

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Probability Counting - Choose N Cards from M, Count of Favorable Outcomes - To Factorial Equation Worksheet

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Probability Counting - Choose N Cards from M, Count of Favorable Outcomes - To Factorial Equation
1
An svg image showing a math problem
How many ways can three Queens be drawn from this set? Show as a factorial.
a A LaTex expression showing 4! over 3! times 1!
b A LaTex expression showing 5! over 5! times 0!
c A LaTex expression showing 3! over 4! times 1!
d A LaTex expression showing 4!
2
An svg image showing a math problem
How many ways can two 7s be drawn from this set? Show as a factorial.
a A LaTex expression showing 3! over 2! times 1!
b A LaTex expression showing 5! over 2! times 3!
c A LaTex expression showing 3!
3
An svg image showing a math problem
How many ways can three 5s be drawn from this set? Show as a factorial.
a A LaTex expression showing 4! over 3! times 1!
b A LaTex expression showing 4!
c A LaTex expression showing 6! over 2! times 4!
d A LaTex expression showing 3! over 4! times 1!
4
An svg image showing a math problem
How many ways can two 8s be drawn from this set? Show as a factorial.
a A LaTex expression showing 5! over 2! times 3!
b A LaTex expression showing 2! over 3! times 1!
c A LaTex expression showing 3! over 3! times 0!
d A LaTex expression showing 3!
e A LaTex expression showing 3! over 2! times 1!
5
An svg image showing a math problem
How many ways can two 7s be drawn from this set? Show as a factorial.
a A LaTex expression showing 6! over 3! times 3!
b A LaTex expression showing 4! over 2! times 2!
c A LaTex expression showing 2! over 4! times 2!
d A LaTex expression showing 4! over 2!
6
An svg image showing a math problem
How many ways can two 3s be drawn from this set? Show as a factorial.
a A LaTex expression showing 4! over 2!
b A LaTex expression showing 2! over 4! times 2!
c A LaTex expression showing 3! over 3! times 0!
d A LaTex expression showing 4! over 2! times 2!
7
An svg image showing a math problem
How many ways can two 10s be drawn from this set? Show as a factorial.
a A LaTex expression showing 4! over 2! times 2!
b A LaTex expression showing 3! over 3! times 0!
c A LaTex expression showing 2! over 4! times 2!
d A LaTex expression showing 4! over 2!
8
An svg image showing a math problem
How many ways can two Kings be drawn from this set? Show as a factorial.
a A LaTex expression showing 3! over 2! times 1!
b A LaTex expression showing 2! over 3! times 1!
c A LaTex expression showing 3!