यदि \(A=\{1,2,3,4\}\) और \(B=\{1,2,3,4\}\), तो \(A\times B\) के ऐसे उपसमुच्चयों की संख्या कितनी है जिनमें ठीक (2) क्रमित युग्म हों?
If \(A=\{1,2,3,4\}\) and \(B=\{1,2,3,4\}\), how many subsets of \(A\times B\) contain exactly (2) ordered pairs?
Explanation opens after your attempt
Correct Answer
C. (120)
Concept
(n\(A\times B\)=16), so the number of ways to choose exactly (2) pairs is \({}^{16}C_2=120\). Use subset selection when counting relations.
Why this answer is correct
The correct answer is C. (120). (n\(A\times B\)=16), so the number of ways to choose exactly (2) pairs is \({}^{16}C_2=120\). Use subset selection when counting relations.
Exam Tip
(n\(A\times B\)=16), इसलिए ठीक (2) युग्म चुनने के तरीके \({}^{16}C_2=120\) हैं। संबंध गिनते समय उपसमुच्चय चयन का विचार लगाएं।
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