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?
+128407 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
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!.
