यदि \(A=\{1,2,3,4\}\), तो ऐसे उपसमुच्चयों की संख्या कितनी है जिनमें ठीक 3 अवयव हों?

If \(A=\{1,2,3,4\}\), how many subsets have exactly 3 elements?

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Correct Answer

B. 4

Step 1

Concept

The number of ways to choose exactly 3 elements is \(\binom{4}{3}=4\). Changing order does not create a new subset.

Step 2

Why this answer is correct

The correct answer is B. 4. The number of ways to choose exactly 3 elements is \(\binom{4}{3}=4\). Changing order does not create a new subset.

Step 3

Exam Tip

ठीक 3 अवयव चुनने के तरीके \(\binom{4}{3}=4\) हैं। क्रम बदलने से नया उपसमुच्चय नहीं बनता।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3,4\}\), तो ऐसे उपसमुच्चयों की संख्या कितनी है जिनमें ठीक 3 अवयव हों? / If \(A=\{1,2,3,4\}\), how many subsets have exactly 3 elements?

Correct Answer: B. 4. Explanation: ठीक 3 अवयव चुनने के तरीके \(\binom{4}{3}=4\) हैं। क्रम बदलने से नया उपसमुच्चय नहीं बनता। / The number of ways to choose exactly 3 elements is \(\binom{4}{3}=4\). Changing order does not create a new subset.

Which concept should I revise for this Mathematics MCQ?

The number of ways to choose exactly 3 elements is \(\binom{4}{3}=4\). Changing order does not create a new subset.

What exam hint can help solve this Mathematics question?

ठीक 3 अवयव चुनने के तरीके \(\binom{4}{3}=4\) हैं। क्रम बदलने से नया उपसमुच्चय नहीं बनता।