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Let A and B be any two sets such that n(B) = p, n(A) = q then the total
number of functions f : A → B is equal to ?
Well, the answer will be q^p. But how? How not pxq?
Somebody please tell me!!!
Answers
Answered by
2
Answer:
Given A and B are two sets with number of elements p and q respectively.
The cartesian product of A and B=A×B={(a,b):(a∈A) and (b∈B)}
Number of elements in A×B=∣A×B∣=∣A∣.∣B∣=pq
Any relation from A to B is a subset of A×B.
Hence number of relations from A to B is the number of subsets of A×B
=2
∣A×B∣
=2
pq
Answered by
1
Answer:
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