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Mathematics 16 Online
OpenStudy (goformit100):

The number 21328 has a unique feature : The sum of first four digits equals the units digit. How many even five- digit number have this unique property?

OpenStudy (goformit100):

@waterineyes

OpenStudy (anonymous):

It will be like : 100001..

OpenStudy (anonymous):

*10001

OpenStudy (goformit100):

ok

OpenStudy (anonymous):

Oh even five-digit number the question is asking I think.

OpenStudy (anonymous):

For even 5 digit numbers, last digit should be 0, 2, 4, 6, 8.

OpenStudy (goformit100):

ok

OpenStudy (goformit100):

ok can we list those Numbers ?

OpenStudy (anonymous):

Yes we can but I can't.. For 2, these are : 10012 11002 10102.

OpenStudy (anonymous):

Like wise we have to find for 4, 6, and 8.. For 0, there will be no number. because number formed will be 00000, which is not a 5-digit number.

OpenStudy (anonymous):

@hartnn @AravindG . Don't worry @goformit100 we have other helpers too..

OpenStudy (goformit100):

Sure

OpenStudy (anonymous):

For 4 it should be: 11114 20024 22004 20204 30014 31004 30104 10034 10304 13004

OpenStudy (goformit100):

ok

OpenStudy (anonymous):

For 6 it will be more and for 8 even more.. But it is possible to list them..

OpenStudy (agent0smith):

Maybe you can do them with permutations...

OpenStudy (aravindg):

Ya I was thinking of that

OpenStudy (anonymous):

Yes, I don't know the proper method to do, it will be done by Permutations, because here arrangement of digits is involved.. So that is why I was doing it manually.

OpenStudy (goformit100):

I thing for 0, the property must not be possible.

OpenStudy (anonymous):

No it is not possible for 0..

OpenStudy (goformit100):

|dw:1368012010147:dw|

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