Question: (Question 2) Let k: E N with I: 2 2, and let G be the graph with vertex set V(G') = {0,1}k (that is, V(G')

(Question 2) Let k: E N with I: 2 2, and let G be the graph with vertex set V(G') = {0,1}k (that is, V(G') is the set of ktuples with elements in {0,1}) where for each pair u, v E V(G), m; E E(G') if and only if u and v differ in exactly two positions. How many components does G have? Prove your answer is correct. (Note: it might be helpful to draw out some small examples (for k = 2, 3,4...) and try to spot a pattern. As usual, you should not include these drawings in your solution.)

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