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How many 6-digit EVEN integers between 100,000 and 999,999 sum up to 22? Thanks for any help.

 Oct 21, 2019
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I don't know how to solve this using permutations and combinations. Maybe one of the mathematicians here can do that. However, it is very easy to write a short computer code to do the counting for us:


There are 1,321 six-digit integers that sum up to 22 and they begin with:
200488  200668  200686  200848  200866  200884  202288......and end with:  882400  884002  884020  884200  886000 - for a total of 1,321 such integers.

 Oct 22, 2019

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