Counting Principles and Rules Quiz
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Questions and Answers

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 ____________.

  • 8
  • 12 (correct)
  • 53
  • 15

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

  • 256 (correct)
  • 128
  • 512
  • 64

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 (correct)
  • 456,976
  • 208,000
  • 26,000

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?

<p>60 (D)</p> Signup and view all the answers

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?

<p>63 (A)</p> Signup and view all the answers

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