यदि (|A|=3), (|B|=4) और \(R\subseteq A\times B\), तो (R) में ठीक (3) अवयव चुनने के कितने तरीके हैं?
If (|A|=3), (|B|=4), and \(R\subseteq A\times B\), in how many ways can (R) have exactly (3) elements?
Explanation opens after your attempt
Correct Answer
C. (220)
Concept
Since \(|A\times B|=12\), the number of ways to choose exactly (3) pairs is \(\binom{12}{3}=220\). Use combinations when an exact size is asked.
Why this answer is correct
The correct answer is C. (220). Since \(|A\times B|=12\), the number of ways to choose exactly (3) pairs is \(\binom{12}{3}=220\). Use combinations when an exact size is asked.
Exam Tip
\(|A\times B|=12\), इसलिए ठीक (3) युग्म चुनने के तरीके \(\binom{12}{3}=220\) हैं। ठीक संख्या पूछी हो तो संयोजन लगाएँ।
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