Set Relations Quiz

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Questions and Answers

How many relations are there on a set with 4 elements?

  • 256 (correct)
  • 16
  • 512
  • 32

Which of the following statements is true about a relation on set A?

  • It must have fewer elements than A.
  • It must be a subset of A. (correct)
  • It must have the same number of elements as A.
  • It must contain all possible combinations of elements in A.

How many elements are there in the set A × A, if A has n elements?

  • $n$
  • $n^2$ (correct)
  • $2n$
  • $2^n$

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