यदि \(A=\{1,2,3,4,5,6\}\), तो ठीक दो विषम सदस्यों वाले उपसमुच्चयों की संख्या कितनी है?

If \(A=\{1,2,3,4,5,6\}\), how many subsets have exactly two odd elements?

Explanation opens after your attempt
Correct Answer

D. (24)

Step 1

Concept

Choose two from the three odd numbers, and the three even numbers are optional. The count is \(\binom{3}{2}\times2^3=24\).

Step 2

Why this answer is correct

The correct answer is D. (24). Choose two from the three odd numbers, and the three even numbers are optional. The count is \(\binom{3}{2}\times2^3=24\).

Step 3

Exam Tip

तीन विषम संख्याओं में से दो चुनें और तीन सम संख्याएँ वैकल्पिक हैं। संख्या \(\binom{3}{2}\times2^3=24\) है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3,4,5,6\}\), तो ठीक दो विषम सदस्यों वाले उपसमुच्चयों की संख्या कितनी है? / If \(A=\{1,2,3,4,5,6\}\), how many subsets have exactly two odd elements?

Correct Answer: D. (24). Explanation: तीन विषम संख्याओं में से दो चुनें और तीन सम संख्याएँ वैकल्पिक हैं। संख्या \(\binom{3}{2}\times2^3=24\) है। / Choose two from the three odd numbers, and the three even numbers are optional. The count is \(\binom{3}{2}\times2^3=24\).

Which concept should I revise for this Mathematics MCQ?

Choose two from the three odd numbers, and the three even numbers are optional. The count is \(\binom{3}{2}\times2^3=24\).

What exam hint can help solve this Mathematics question?

तीन विषम संख्याओं में से दो चुनें और तीन सम संख्याएँ वैकल्पिक हैं। संख्या \(\binom{3}{2}\times2^3=24\) है।