यदि (|A|=4), तो (\mathcal{P}(A)) के कितने तत्वों में कम से कम (3) तत्व होंगे?

If (|A|=4), how many elements of (\mathcal{P}(A)) have at least (3) elements?

Explanation opens after your attempt
Correct Answer

B. (5)

Step 1

Concept

Subsets with at least (3) elements have (3) or (4) elements. The number is \(\binom{4}{3}+\binom{4}{4}=5\).

Step 2

Why this answer is correct

The correct answer is B. (5). Subsets with at least (3) elements have (3) or (4) elements. The number is \(\binom{4}{3}+\binom{4}{4}=5\).

Step 3

Exam Tip

कम से कम (3) तत्वों वाले उपसमुच्चय (3) या (4) तत्वों के होंगे। संख्या \(\binom{4}{3}+\binom{4}{4}=5\) है।

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Mathematics Answer, Explanation and Revision Hints

यदि (|A|=4), तो (\mathcal{P}(A)) के कितने तत्वों में कम से कम (3) तत्व होंगे? / If (|A|=4), how many elements of (\mathcal{P}(A)) have at least (3) elements?

Correct Answer: B. (5). Explanation: कम से कम (3) तत्वों वाले उपसमुच्चय (3) या (4) तत्वों के होंगे। संख्या \(\binom{4}{3}+\binom{4}{4}=5\) है। / Subsets with at least (3) elements have (3) or (4) elements. The number is \(\binom{4}{3}+\binom{4}{4}=5\).

Which concept should I revise for this Mathematics MCQ?

Subsets with at least (3) elements have (3) or (4) elements. The number is \(\binom{4}{3}+\binom{4}{4}=5\).

What exam hint can help solve this Mathematics question?

कम से कम (3) तत्वों वाले उपसमुच्चय (3) या (4) तत्वों के होंगे। संख्या \(\binom{4}{3}+\binom{4}{4}=5\) है।