A set has elements. How many relations can be defined from to ?
Answer and explanation
Correct answer: D. 512
- Step 1: A binary relation on set is defined as any subset of the Cartesian product .
- Step 2: With , the Cartesian product has ordered pairs.
- Step 3: The total number of possible subsets of a set with 9 elements is .
Answer
512.
Why not the others: The other numbers (8, 6, 9) confuse the number of relations with the Cartesian product size or power set of .
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