यदि \(A=\{1,2,3,4\}\), तो ऐसे कितने उपसमुच्चय \(B\subseteq A\) हैं जिनके लिए \(A\setminus B\) में ठीक (2) तत्व हों?
If \(A=\{1,2,3,4\}\), how many subsets \(B\subseteq A\) satisfy that \(A\setminus B\) has exactly (2) elements?
Explanation opens after your attempt
Correct Answer
A. (6)
Concept
Choosing (2) elements for \(A\setminus B\) is like choosing (2) elements from (A), so \(\binom{4}{2}=6\). Difference size is linked to complementary selection.
Why this answer is correct
The correct answer is A. (6). Choosing (2) elements for \(A\setminus B\) is like choosing (2) elements from (A), so \(\binom{4}{2}=6\). Difference size is linked to complementary selection.
Exam Tip
\(A\setminus B\) के (2) तत्व चुनना (A) से (2) तत्व चुनने जैसा है, इसलिए \(\binom{4}{2}=6\)। अंतर का आकार पूरक उपचयन से जुड़ा है।
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