Problem Definition: In a set of n snookerballs, all of the same standard weight, there is one ball of non-standard weight.(adsbygoogle = window.adsbygoogle || []).push({});

Using a Scale Balance, find the non-standard ball with minimum number of trials- Provide a formula for the proof.

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Snookerball Problems - Solution:

1.one non-standard – but of known relative weight -Identify non-standard :

Solution: Quantity = 3 (to power n), or less; Trials=n.

2.One non-standard ball- of unknown relative weight; find and identify relative (heavier or lighter) weight ?:

Solution: Qty = ( 3(power n) + 3(n-1) + 3 (n-2) …… 3(2) + 3(1) ) or less; Trials = n +1.

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What about problem when there are TWO non-standard balls...

Gautam Pandya

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# Snooker balls - Problem def & Solution

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