## Try It Now

Work these exercises to see how well you understand this material.

### Exercises

- Let A = {0, 2, 3}, B = {2, 3}, C = {1, 4}, and let the universal set be U = { 0, 1 , 2 , 3 , 4 }. List the elements of:
- List all two-element sets in .
- How many singleton (one-element) sets are there in if |A| = n ?
- Let A = {+ , −} and B = {00, 01, 10, 11}.

- List the elements of A × B
- How many elements do A
^{4}and (A × B)^{3}have?

- Let A and B be nonempty sets. When are A × B and B × A equal?

Source: Al Doerr and Ken Levasseur, http://faculty.uml.edu/klevasseur/ads-latex/ads.pdf

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