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Chef Gundy is creating a new dessert that will be made from [#permalink]
05 Sep 2004, 17:20
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Chef Gundy is creating a new dessert that
will be made from 3 ingredients. If he has 8
cookies and one flavor of sorbet to choose from,
what fraction of the possible arrangements will
contain the sorbet?
The 3 ingredient can either be coming all from 3 of the 8 cookies, which gives 8C3 = 56 combinations
Or 2 cookies + 1 sorbet = 8C2=28 combinations. We don't need to consider the sorbet since there's only 1 to pick from.
So total combinations = 56+28 = 84
Fraction of arrangements containing sorbet = 28/84=1/3