(b) A certain bank has 31,700 customers. Each customer at the bank has chosen a 4-digit PIN toidentify themselves at the ATM. Examples of PINs are 0678, 2189, 9834. Prove that there is atleast one PIN shared by four or more customers.

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Answered: (b) A certain bank has 31,700…

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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(b) A certain bank has 31,700 customers. Each customer at the bank has chosen a 4-digit PIN to identify themselves at the ATM. Examples of PINs are 0678, 2189, 9834. Prove that there is at least one PIN shared by four or more customers.