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Dm assignment5

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  • 1. Assignment 5Due Date: 24th May
  • 2. Question 12
  • 3. Question 13Question 14Question 15Question 16
  • 4. Question 17Question 18Question 19Question 20
  • 5. Question 21Question 22Question 23Question 24
  • 6. Question 25Question 26Prove that if seven distinct numbers are selected from {1, 2, . . . , 11}, then some two of these numbers sum to 12.(Hint: Use Pigeon Hole Principle)Question 27Prove that if 11 integers are selected from among {1, 2, . . . , 20}, then the selection includes integer a and b suchthat a − b = 2. (Hint: Use Pigeon Hole Principle)