Assignment:
Suppose that integers 1,2,3,4,5,6,7,8,9,10 are arranged randomly along a circle.
1) Show that For each circular arrangement, there exists at least three adjacent numbers whose sum is greater than 17.
2) Take n + 1 integers from {1,2,3,....., 2n}. Show there exist two integers, one divides the other completely.
Provide complete and step by step solution for the question and show calculations and use formulas.