यदि \(A=\{1,2,3,4\}\), तो (\mathcal{P}(A)) के कितने तत्व ({1,2,3}) के उपसमुच्चय हैं लेकिन ({1}) के अधिसमुच्चय नहीं हैं?

If \(A=\{1,2,3,4\}\), how many elements of (\mathcal{P}(A)) are subsets of ({1,2,3}) but not supersets of ({1})?

Explanation opens after your attempt
Correct Answer

B. (4)

Step 1

Concept

The subset of ({1,2,3}) must not contain (1). Subsets formed only from (2,3) give \(2^2=4\) choices.

Step 2

Why this answer is correct

The correct answer is B. (4). The subset of ({1,2,3}) must not contain (1). Subsets formed only from (2,3) give \(2^2=4\) choices.

Step 3

Exam Tip

({1,2,3}) के उपसमुच्चय में (1) नहीं होना चाहिए। केवल (2,3) से बनने वाले \(2^2=4\) उपसमुच्चय मिलेंगे।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3,4\}\), तो (\mathcal{P}(A)) के कितने तत्व ({1,2,3}) के उपसमुच्चय हैं लेकिन ({1}) के अधिसमुच्चय नहीं हैं? / If \(A=\{1,2,3,4\}\), how many elements of (\mathcal{P}(A)) are subsets of ({1,2,3}) but not supersets of ({1})?

Correct Answer: B. (4). Explanation: ({1,2,3}) के उपसमुच्चय में (1) नहीं होना चाहिए। केवल (2,3) से बनने वाले \(2^2=4\) उपसमुच्चय मिलेंगे। / The subset of ({1,2,3}) must not contain (1). Subsets formed only from (2,3) give \(2^2=4\) choices.

Which concept should I revise for this Mathematics MCQ?

The subset of ({1,2,3}) must not contain (1). Subsets formed only from (2,3) give \(2^2=4\) choices.

What exam hint can help solve this Mathematics question?

({1,2,3}) के उपसमुच्चय में (1) नहीं होना चाहिए। केवल (2,3) से बनने वाले \(2^2=4\) उपसमुच्चय मिलेंगे।