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Question: question 8 let n2 be an integer and consider the...

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Question 8: Let n-2 be an integer and consider the set S = {1, 2, ,n). An ordered triple (A,x,y) is called awesome, if (i) A , (ii) x є A, and (iii) y є A. Let k be an integer with 1 k with |Al k. n. Determine the number of awesome triples (A, , y) Prove that the number of awesome triples (A, r, y) with y is equal to . Determine the number of awesome triples (A, x,y) with x * y. . Use the above results to prove that k=1

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