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Find the number of 10-digit numbers, where the sum of the digits is divsible by $9$.

 Sep 18, 2021
 #1
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First 10-digit number divisible by 9 =1,000,000,008

Last 10-digit number divisible by 9   =9,999,999,999

 

Subtract Last from First, divide by 9 and add 1

[9,999,999,999 - 1,000,000,008] / 9 + 1 =1,000,000,000 ten-digit numbers divisible by 9.

 Sep 18, 2021

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