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HomeJEE MainMathematicsSets, Relations and Functions › |A| = 5, |B| = 3. Number of relations from A to B:

|A| = 5, |B| = 3. Number of relations from A to B:

A125
B2^15 = 32768
C8
D15
Answer & Solution
Correct answer: B. 2^15 = 32768
2^(|A| × |B|) = 2^15 = 32768. Versus number of functions: 3^5 = 243. So relations vastly more than functions.
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