Someone please help me with this math question? 10 points for first correct answer!?

Someone please help me with this math question? 10 points for first correct answer!?



I have no clue what I'm doing here, can someone please help me?

(8A) Let d, f and n be integers with n > d > 1 also let A = {[k] ? Zn | [f] [k] = [0]}.
Prove if d = gcd(f, n), then the set A contains more than one element and fewer than n elements.
[Note that Zn contains exactly n elements: [0], [1], . . . ,[n ? 1].]

(8B) Let r, s, k and n be integers with n > k > 1 and let G = {[c] ? Zn | [c] = [k f] for some integer
f}. If [r] and [s] are in G, then both [r] ? [s] and [r] [s] are in G





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