If A = {1,2,3,4}, how many subsets of A contain both 2 and 3?
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Answer and explanation
Correct answer: 4
The elements 2 and 3 must be included in every required subset, so they are fixed. The remaining elements, 1 and 4, may each either be included or omitted independently. Thus there are 2 choices for 1 and 2 choices for 4, giving 2 × 2 = 4 subsets. Therefore, option B is correct.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
The elements 2 and 3 must be included in every required subset, so they are fixed. The remaining elements, 1 and 4, may each either be included or omitted independently. Thus there are 2 choices for 1 and 2 choices for 4, giving 2 × 2 = 4 subsets. Therefore, option B is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
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