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5. Prove or disprove each of the following statements: (a) Any set of 7 distinct integers contains two integers whose difference is divisible by 7. (b) If 11 numbers are selected from the set (1,2,..., 20), then among the selected mum- bers there exist two whose sum is 20. (c) Any group of 40 people contains 5 people whose birthdays are in the same month.

5. Prove or disprove each of the following statements: (a) Any set of 7 distinct integers contains two integers whose difference is divisible by 7. (b) If 11 numbers are selected from the set (1,2,..., 20), then among the selected mum- bers there exist two whose sum is 20. (c) Any group of 40 people contains 5 people whose birthdays are in the same month.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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5. Prove or disprove each of the following statements: (a) Any set of 7 distinct integers contains two integers whose difference is divisible by 7. (b) If 11 mumbers are selected from the set (1,2,..., 20), then among the selected mum- bers there exist two whose sum is 20. (c) Any group of 40 people contains 5 people whose birthdays are in the same month.
Transcribed Image Text:5. Prove or disprove each of the following statements: (a) Any set of 7 distinct integers contains two integers whose difference is divisible by 7. (b) If 11 mumbers are selected from the set (1,2,..., 20), then among the selected mum- bers there exist two whose sum is 20. (c) Any group of 40 people contains 5 people whose birthdays are in the same month.
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