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There are 51 software students taking MATH 211. Let p1, P2,..., Ps1 be their final cam scores. Hence, each p, is an integer and 1< p; < 100 for every i. Show that there exists i and j with i + j such that p, divides p;. OShow that there exists i and j with i

There are 51 software students taking MATH 211. Let p1, P2,..., Ps1 be their final cam scores. Hence, each p, is an integer and 1< p; < 100 for every i. Show that there exists i and j with i + j such that p, divides p;. OShow that there exists i and j with i

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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4c. Suppose that pi, P2, ..., P51 are all distinct and 1 < Pi < 86 for every i. Show that there exists i and j such that pi – Pj - 16.
Transcribed Image Text:4c. Suppose that pi, P2, ..., P51 are all distinct and 1 < Pi < 86 for every i. Show that there exists i and j such that pi – Pj - 16.
4 There are 51 software students taking MATH 211. Let p1, P2, ..., P51 be their final exam scores. Hence, each p; is an integer and 1 < p; < 100 for every i. 4a. Show that there exists i and j with i + j such that p; divides p;. 4b. Show that there exists i and j with i < j such that the consecutive sum p;+Pi+1+…+Pj is divisible by 37.
Transcribed Image Text:4 There are 51 software students taking MATH 211. Let p1, P2, ..., P51 be their final exam scores. Hence, each p; is an integer and 1 < p; < 100 for every i. 4a. Show that there exists i and j with i + j such that p; divides p;. 4b. Show that there exists i and j with i < j such that the consecutive sum p;+Pi+1+…+Pj is divisible by 37.
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