Question: Let A = {a1, a2, . .., a7}. Given BE P(A) let TB = (xP, x2, . ..,x?) 6 {0, 1} be such that for

Let A = {a1, a2, . .., a7}. Given BE P(A) let TB = (xP, x2, . ..,x?) 6 {0, 1} be such that for every i EN, 1 5 is 7 B if a; $B 0 if a; E B. Define a function f : P(A) -> {0, 1}7 by setting f(B) = XB. (a) Find f(0) and f({a4, a2, as}). [0.5 (b) Show that f is a bijection. [2]

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