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How many Solutions are there to this arithmetic sum ?

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Solve :

 

A B C +

D E F

------------

= G H I J

------------

 

where each letter stands for a different decimal [either 1, 2, 3, 4, 5, 6, 7, 8, 9 or 0]

 

How many solutions are there with G = 1 ?

 

How many with G = 0 ?

 

G can not have any other value !

 

`


Solve :

 

A B C +

D E F

------------

= G H I J

------------

 

where each letter stands for a different decimal [either 1, 2, 3, 4, 5, 6, 7, 8, 9 or 0]

 

How many solutions are there with G = 1 ?

 

How many with G = 0 ?

 

G can not have any other value !

 

`

 

 

I could see

 

235 + 746 = 0981

 

and

 

632 + 457 = 1089

 

are two solutions !

 

Are there any more ?

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