Hard Mathematics Sets Class 11 Level 7

यदि \(A=\{1,2,3,4,5\}\) है तो (A) के दो अवयवों वाले उपसमुच्चयों की संख्या क्या है?

If \(A=\{1,2,3,4,5\}\), how many subsets of (A) have exactly two elements?

Explanation opens after your attempt
Correct Answer

B. (10)

Step 1

Concept

The number of ways to choose two elements is \(\binom{5}{2}=10\). Order is not counted in subsets.

Step 2

Why this answer is correct

The correct answer is B. (10). The number of ways to choose two elements is \(\binom{5}{2}=10\). Order is not counted in subsets.

Step 3

Exam Tip

दो अवयव चुनने की संख्या \(\binom{5}{2}=10\) है। उपसमुच्चय में क्रम नहीं गिना जाता।

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FAQs

Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3,4,5\}\) है तो (A) के दो अवयवों वाले उपसमुच्चयों की संख्या क्या है? / If \(A=\{1,2,3,4,5\}\), how many subsets of (A) have exactly two elements?

Correct Answer: B. (10). Explanation: दो अवयव चुनने की संख्या \(\binom{5}{2}=10\) है। उपसमुच्चय में क्रम नहीं गिना जाता। / The number of ways to choose two elements is \(\binom{5}{2}=10\). Order is not counted in subsets.

Which concept should I revise for this Mathematics MCQ?

The number of ways to choose two elements is \(\binom{5}{2}=10\). Order is not counted in subsets.

What exam hint can help solve this Mathematics question?

दो अवयव चुनने की संख्या \(\binom{5}{2}=10\) है। उपसमुच्चय में क्रम नहीं गिना जाता।

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