Question
If sets A and B contain 4 and 5 elements respectively, then the total number of binary relations from A to B is:
Solution
We are given:
- Set A has 4 elements
- Set B has 5 elements
- Number of elements in A × B = 4 × 5 = 20
- Each subset of A × B defines a binary relation ⇒ So total number of relations = Number of subsets of A × B = 2²⁰
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