Question 34
There are $1000$ balls distributed in $79$ identical boxes. There may be empty boxes, but all the balls are not in one box. There are two allowed operations:
Pass exactly $13$ balls from one box to another.
Pass exactly $66$ balls from one box to another.
The balls are distributed so that it is impossible to gather all the balls in one box, no matter the series of possible operations.
How many balls are there in each box? Give all the possibilities.
Pass exactly $13$ balls from one box to another.
Pass exactly $66$ balls from one box to another.
The balls are distributed so that it is impossible to gather all the balls in one box, no matter the series of possible operations.
How many balls are there in each box? Give all the possibilities.