Are there any 10-digit numbers??????

Algebra Level 3

Find the number of 10-digit numbers,whose sum of the digits is 2.

NOTE:The numbers starting with 0 are not counted as 10 digit numbers whose digit sum is 2.

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The answer is 10.

Naitik Sanghavi by naitik sanghavi , 20, India

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2 solutions

Rama Devi
May 14, 2015

The numbers that be written according to the above rule are 1000000001, 1100000000, 1010000000, 1001000000, 1000100000, 1000010000, 1000001000, 1000000100, 1000000010, 2000000000 Therefore the required answer is 10.

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This problem should be posted on #numbertheory I guess !!

Mahtab Hossain - 6 years ago

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Even I thought the same.

Rama Devi - 6 years ago
Mridul K Ojha
May 27, 2015

There are 9 possible numbers having two 1 & one number stating with 2 having all other digits as 0.

Eg 1100000000, 1010000000,.......1000000001 & 2000000000

THEREFORE TOTAL NUMBERS = 10

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