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5. Let A = {x, y}, B = {1,2}. Find the Cartesian products of A and B: A x B? (Hint: the result will be a set of pairs (a, b) where a ∈ A and b ∈ B). 6. Which if the following sets are equal? a) {a, b, c, d} b) {d, e, a, c) c) {d, b, a, c} d) {a, a, d, e, c, e} 7. What is the cardinality of each of the following sets? a) { } b) { { } } c) {a, {a}, {a, {a}} } 8. How many different license plates can be made if each plate contains a sequence of three upper case English letters followed by three digits (and no sequences of letters are prohibited, even if they are obscene)?
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