let A={1,4} and B={2,6} ,then find the number of relations from A to B
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Answer:
A={1,4} ---> n (A) = 2
B={2,6} ---> n (B) = 2
So, Since relation is a subset of cartesian product,
n (A X B) = n (A) *n (B) = 2*2 = 4
So,
No. of relations = 2 ^ (n (A) *n (B) = 2^4
=16
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