If A = {a, b, c}, how many subsets in P(A) do not contain a?
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Answer and explanation
Correct answer: 4
If a is not allowed in a subset, only b and c may be selected. Each of these two elements has two independent choices: include it or leave it out. Thus the number of permitted subsets is 2^2 = 4. They are the empty set, {b}, {c}, and {b, c}. Therefore, option C is correct.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
If a is not allowed in a subset, only b and c may be selected. Each of these two elements has two independent choices: include it or leave it out. Thus the number of permitted subsets is 2^2 = 4. They are the empty set, {b}, {c}, and {b, c}. Therefore, 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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