How S2 is correct ,I can have more than n-k edges like if n=7 and k=3 ,then K1(a-b-c-d-e) k2(f() k2(g).K1,k2,k3 are different compoinents i assumes,Now in K1 i can add one more edge between a to c or a to d and still it will be simple graph and it will have 3 components?Please help