यदि \(A=\{1,2,3,4,5,6\}\) है, तो \(\mathcal{P}(A)\) में (4) तत्वों वाले subsets कितने हैं जो ({1,2}) को contain करते हैं?
If \(A=\{1,2,3,4,5,6\}\), how many (4)-element subsets in \(\mathcal{P}(A)\) contain ({1,2})?
Explanation opens after your attempt
Correct Answer
B. (6)
Concept
({1,2}) is fixed, so choose the remaining (2) elements from ({3,4,5,6}). The number is \(\binom{4}{2}=6\).
Why this answer is correct
The correct answer is B. (6). ({1,2}) is fixed, so choose the remaining (2) elements from ({3,4,5,6}). The number is \(\binom{4}{2}=6\).
Exam Tip
({1,2}) fixed है, इसलिए बाकी (2) तत्व ({3,4,5,6}) से चुनने हैं। संख्या \(\binom{4}{2}=6\) है।
Login to save your score, XP, coins and progress.