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Posted by Denis Borris on 5/10/2009, 4:59 pm
BALLS N' ALL
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- 6 baskets are full of identical looking balls
- in 2 baskets, balls weigh 10; in 2 others, 9; in 2 others, 8.
- but you don't know which basket contains what
- you are given a weigh scale; you can look at one weigh result only
- you place a certain number of balls on the scale
- the weight result is such that you cannot tell what each basket contains
Someone who already knows the weights in each basket and has been
watching you now tells you: "the 2 baskets with 8's are not side by side"
And now you can tell with certainty what each basket contains.
In order for this to happen:
1- what is minmum number of balls you must put on the scale?
2- what are the only 2 possible weight results that you must get?
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