यदि (A) में (6) तत्व हैं, तो (A) के ऐसे उपसमुच्चयों की संख्या कितनी है जिनमें एक चुना हुआ तत्व न हो?

If (A) has (6) elements, how many subsets of (A) do not contain a selected element?

Explanation opens after your attempt
Correct Answer

B. (32)

Step 1

Concept

After excluding the selected element, (5) elements remain. Their subsets are \(2^5=32\).

Step 2

Why this answer is correct

The correct answer is B. (32). After excluding the selected element, (5) elements remain. Their subsets are \(2^5=32\).

Step 3

Exam Tip

चुना हुआ तत्व हटाने पर (5) तत्व बचते हैं। इनके उपसमुच्चय \(2^5=32\) होंगे।

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Mathematics Answer, Explanation and Revision Hints

यदि (A) में (6) तत्व हैं, तो (A) के ऐसे उपसमुच्चयों की संख्या कितनी है जिनमें एक चुना हुआ तत्व न हो? / If (A) has (6) elements, how many subsets of (A) do not contain a selected element?

Correct Answer: B. (32). Explanation: चुना हुआ तत्व हटाने पर (5) तत्व बचते हैं। इनके उपसमुच्चय \(2^5=32\) होंगे। / After excluding the selected element, (5) elements remain. Their subsets are \(2^5=32\).

Which concept should I revise for this Mathematics MCQ?

After excluding the selected element, (5) elements remain. Their subsets are \(2^5=32\).

What exam hint can help solve this Mathematics question?

चुना हुआ तत्व हटाने पर (5) तत्व बचते हैं। इनके उपसमुच्चय \(2^5=32\) होंगे।