Counting Principles and Rules Quiz

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5 Questions

According to the Product Rule, if there are 5 ways to do the first task and 3 ways to do the second task, then the total ways to do the procedure are ____________.

12

How many bit strings of length eight are there, where each bit can be either 0 or 1?

256

If a license plate contains a sequence of four uppercase English letters followed by two digits, how many different license plates can be made?

26^4 * 10^2

What is the total number of elements in the Cartesian product of sets A, B, and C if |A| = 3, |B| = 5, and |C| = 4?

60

If set X has 6 elements and set Y has 9 elements, what is the total number of elements in the Cartesian product X × Y?

63

Test your knowledge of basic counting principles and rules including the Product Rule, Sum Rule, Subtraction Rule, and Division Rule. Explore topics such as tree diagrams, permutations, and combinations to improve your understanding of counting techniques.

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