its the invincible

Probability Level pending

How many numbers can be formed of 5 digit such that sum of digits is even??


The answer is 45000.

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1 solution

Arpan Konar
Dec 26, 2015

There are 99999-9999=90000 five digit numbers.Sum of digits of first five digit number 10000 is odd,the next is even,next is odd and it goes on like this,since we add 1 to get the next number(odd+1=even,even+1=odd).Hence for half of the numbers sum of digits will be odd and for the other half its even.Ans-45000

Thanks for solving.

Shyambhu Mukherjee - 5 years, 5 months ago

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