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Class 10MathematicsSetsPower Set and SubsetsHardLevel 10

If A = {1, 2, 3, 4, 5, 6}, how many subsets in P(A) contain at least one of 2 or 4?

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Answer and explanation

Correct answer: 48

There are 2^6 = 64 total subsets of A. It is easier to count the complement: subsets containing neither 2 nor 4 can use only the remaining four elements, so there are 2^4 = 16 of them. Therefore, subsets containing at least one of 2 or 4 equal 64 − 16 = 48. Option C is correct.

Tags

setspower setcomplement methodat least onePower Set and SubsetsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

48

Why is this the correct answer?

There are 2^6 = 64 total subsets of A. It is easier to count the complement: subsets containing neither 2 nor 4 can use only the remaining four elements, so there are 2^4 = 16 of them. Therefore, subsets containing at least one of 2 or 4 equal 64 − 16 = 48. Option C 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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