यदि (|A|=4), (|B|=5) और \(R\subseteq A\times B\), तो (R) में ठीक (2) अवयव चुनने के कितने तरीके हैं?
If (|A|=4), (|B|=5), and \(R\subseteq A\times B\), in how many ways can (R) have exactly (2) elements?
Explanation opens after your attempt
Correct Answer
C. (190)
Concept
Since \(|A\times B|=20\), the number of ways to choose exactly (2) pairs is \(\binom{20}{2}=190\). Use combinations for exact-size subsets.
Why this answer is correct
The correct answer is C. (190). Since \(|A\times B|=20\), the number of ways to choose exactly (2) pairs is \(\binom{20}{2}=190\). Use combinations for exact-size subsets.
Exam Tip
\(|A\times B|=20\), इसलिए ठीक (2) युग्म चुनने के तरीके \(\binom{20}{2}=190\) हैं। ठीक संख्या पूछी हो तो संयोजन लगाएँ।
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