. Answer the following:
a. What is {1, 2, 3} × {1, 4, 16}?
b. What is {1, 4, 16} × {1, 2, 3}?
c. What is {1} × {1} × {1}?
d. What is {1, 2} × {2, 3} × {1, 4, 16}?
e. Suppose A × B = {〈1, 1〉, 〈2,1〉}. What are A and B?
Which of the following functions f : {0, 1, 2, 3} → {0, 1, 2, 3}are onto?
a. f(x) = x
b. f(x) = x2 mod 4
c. f(x) = x2 − x mod 4
d. f(0) = 3, f(1) = 2, f(2) = 1, f(3) = 0
e. f(0) = 1, f(1)
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