Lots of digits

Computer Science Level 2

How many digits are there in ( 2020 0 ) + ( 2020 4 ) + ( 2020 8 ) + ⋯ + ( 2020 2020 ) \dbinom{2020}{0}+\dbinom{2020}{4}+\dbinom{2020}{8}+\cdots +\dbinom{2020}{2020} ?


The answer is 608.

Akeel Howell by Akeel Howell , 22, USA

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1 solution

Hasmik Garyaka
Sep 21, 2017

This is about a quarter of sum of all C(2020,n)=2^2020=1.2e608

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