#Discrete math - Combinatorics

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steady bolt
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We have an array of 6 digits, abcdef where digits are 0-9 and we have to find how many numbers there are where a+b+c=d+e+f stands.

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runic flume
steady bolt
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yes

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https://www.quora.com/Suppose-that-we-have-an-array-of-6-digits-abcdef-We-need-to-find-for-how-many-6-digit-arrays-a-b-c-d-e-f-stands-I-am-intentionally-saying-that-it-is-an-array-because-leading-zeroes-are-allowed-How-can-we-solve-this

Quora
Suppose that we have an array of 6 digits abcdef. We need to find f...

Answer (1 of 2): This is equivalent to finding the number of 6-digit codes (including codes with leading zeroes) in which the sum of the first 3 digits is equal to the sum of the last 3 digits. The codes range from 00000 to 999999. Therefore, we have to total of 10^6 = 1,000,000 codes.

Here is a...