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How many subsets of the set {1, 2, 3, 4} that contain 3?Select one:a.9b.3c.8d.16

Question

How many subsets of the set {1, 2, 3, 4} that contain 3?

Select one:

  • a. 9
  • b. 3
  • c. 8
  • d. 16
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Solution

The question is asking for the number of subsets of the set {1, 2, 3, 4} that contain the number 3.

Here are the steps to solve this:

  1. First, remove the number 3 from the set, because we know that every subset we're counting must include 3. This leaves us with the set {1, 2, 4}.

  2. Now, we need to find the number of subsets of this new set. The number of subsets of a set with n elements is 2^n. In this case, n = 3 (the numbers 1, 2, and 4), so the number of subsets is 2^3 = 8.

  3. However, these are the subsets of {1, 2, 4}. Since we know that every subset we're counting must include 3, we can simply add 3 back into each of these subsets. This doesn't change the number of subsets, so the final answer is still 8.

So, the correct answer is c. 8.

This problem has been solved

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