Hard Mathematics Sets Class 11 Level 8

यदि \(A=\{p,q,r,s\}\) है तो (A) के दो अवयवों वाले उपसमुच्चयों की संख्या क्या है?

If \(A=\{p,q,r,s\}\), how many subsets of (A) have exactly two elements?

Explanation opens after your attempt
Correct Answer

B. (6)

Step 1

Concept

The number of ways to choose two elements is \(\binom{4}{2}=6\). Order is not counted in subsets.

Step 2

Why this answer is correct

The correct answer is B. (6). The number of ways to choose two elements is \(\binom{4}{2}=6\). Order is not counted in subsets.

Step 3

Exam Tip

दो अवयव चुनने के तरीके \(\binom{4}{2}=6\) हैं। उपसमुच्चय में क्रम नहीं गिना जाता।

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FAQs

Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{p,q,r,s\}\) है तो (A) के दो अवयवों वाले उपसमुच्चयों की संख्या क्या है? / If \(A=\{p,q,r,s\}\), how many subsets of (A) have exactly two elements?

Correct Answer: B. (6). Explanation: दो अवयव चुनने के तरीके \(\binom{4}{2}=6\) हैं। उपसमुच्चय में क्रम नहीं गिना जाता। / The number of ways to choose two elements is \(\binom{4}{2}=6\). Order is not counted in subsets.

Which concept should I revise for this Mathematics MCQ?

The number of ways to choose two elements is \(\binom{4}{2}=6\). Order is not counted in subsets.

What exam hint can help solve this Mathematics question?

दो अवयव चुनने के तरीके \(\binom{4}{2}=6\) हैं। उपसमुच्चय में क्रम नहीं गिना जाता।

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