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Class 10MathematicsSetsPower Set and SubsetsMediumLevel 10

If A = {1, 2, 3, 4}, how many subsets in P(A) contain {1, 2} as a subset?

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Answer and explanation

Correct answer: 4

Any subset of A that contains {1, 2} must include both 1 and 2. The remaining elements 3 and 4 are optional, and each can independently be included or excluded. Thus the possible subsets are {1,2}, {1,2,3}, {1,2,4}, and {1,2,3,4}, giving 2^2 = 4 subsets. Therefore, option B is correct.

Tags

setspower setrequired subsetsubset countingPower Set and SubsetsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

4

Why is this the correct answer?

Any subset of A that contains {1, 2} must include both 1 and 2. The remaining elements 3 and 4 are optional, and each can independently be included or excluded. Thus the possible subsets are {1,2}, {1,2,3}, {1,2,4}, and {1,2,3,4}, 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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