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Fruit salad can be made with any 3 of these 5 fruits: apples, bananas, grapes, strawberries, and pineapples. If strawberries and pineapples do not taste good together and grapes and bananas do not look appetizing together, how many possible good tasting and appetizing salads are there?

 Jun 18, 2019
 #1
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Number of possible salads  =  5C3  = 10

Eliminate  those with strawberries and  pineapples  and one other fruit  = 3

Eliminate those with grapes and bananas and one other fruit  = 3

 

So   10 - 3 - 3  =    4 salads

 

 

cool cool cool 

 Jun 18, 2019
 #2
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5C3 = 10 possible salads:
A =Apple, B=Banana.....etc.
{A, B, G} | {A, B, P} | {A, B, S} | {A, G, P} | {A, G, S} | {A, P, S} | {B, G, P} | {B, G, S} | {B, P, S} | {G, P, S} 
Since {ABG}, {BGP}, {GPS}, {APS}, {BPS}, {GPS} are not "palatable", then there are only 4 "delicious" salads possible!.

 Jun 18, 2019

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