HCU MCA 2013 Paper

Question : 36 of 75

Marks: +1, -0

Let A and B be two non-empty sets with cardinality p and q, respectively. Then the total number of relations that can be defined from the set A to set B is

2 $^\p$
2 $^{\pq}$
2 $^\q$
p or q or pq

Validate

Solution:

(b) Here, n(A) = p and n(B) = q
⇒ n (A × B) = (pq)
Number of subsets of (A × B) = 2

^{\n(\A×\B)}= 2^{\pq}

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