How many positive integers N satisfy all of the following three conditions? (i) N is divisible by 2020. (ii) N has at most 2020 decimal digits. (iii) The decimal digits of N are a string of consecutive ones followed by a string of consecutive zeros.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.7: Problem Solving: Consecutive Integers
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1. How many positive integers N satisfy all of the following three conditions?
(i) N is divisible by 2020.
(ii) N has at most 2020 decimal digits.
(iii) The decimal digits of N are a string of consecutive ones followed by a string of consecutive zeros.
Transcribed Image Text:1. How many positive integers N satisfy all of the following three conditions? (i) N is divisible by 2020. (ii) N has at most 2020 decimal digits. (iii) The decimal digits of N are a string of consecutive ones followed by a string of consecutive zeros.
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