Hard Mathematics Sets Class 11 Level 7

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

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

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Correct Answer

B. (4)

Step 1

Concept

The number of ways to choose three elements is \(\binom{4}{3}=4\). All are proper because the whole set has four elements.

Step 2

Why this answer is correct

The correct answer is B. (4). The number of ways to choose three elements is \(\binom{4}{3}=4\). All are proper because the whole set has four elements.

Step 3

Exam Tip

तीन अवयव चुनने की संख्या \(\binom{4}{3}=4\) है। ये सभी उचित हैं क्योंकि पूरा समुच्चय चार अवयवों का है।

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FAQs

Mathematics Answer, Explanation and Revision Hints

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

Correct Answer: B. (4). Explanation: तीन अवयव चुनने की संख्या \(\binom{4}{3}=4\) है। ये सभी उचित हैं क्योंकि पूरा समुच्चय चार अवयवों का है। / The number of ways to choose three elements is \(\binom{4}{3}=4\). All are proper because the whole set has four elements.

Which concept should I revise for this Mathematics MCQ?

The number of ways to choose three elements is \(\binom{4}{3}=4\). All are proper because the whole set has four elements.

What exam hint can help solve this Mathematics question?

तीन अवयव चुनने की संख्या \(\binom{4}{3}=4\) है। ये सभी उचित हैं क्योंकि पूरा समुच्चय चार अवयवों का है।

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