Question 1100381: in how many different ways can a person gathering data for a market research organization select three of the 20 households living in a certain apartment complex if:
a) A person care about the order in which the households are selected.
b) A person does not care about the order in which the households are selected.
c) In how many ways can two paintings by Monet, three paintings by Renoir , and two paintings by Degas be hung side by side on a museum wall if do not distinguish between the paintings by the same artists?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! in how many different ways can a person gathering data for a market research organization select three of the 20 households living in a certain apartment complex if:
a) A person cares about the order in which the households are selected.
20P3 = 20!/(20-3)! = 20!/17! = 20*19*17 = 6840 ways
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b) A person does not care about the order in which the households are selected.
20C3 = 20!/[17!*3!] = (20*19*18)/(1*2*3) = 1140
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c) In how many ways can two paintings by Monet, three paintings by Renoir , and two paintings by Degas be hung side by side on a museum wall if do not distinguish between the paintings by the same artists?
Ans:: 7!/(2!*3!*2!) = 210
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Cheers,
Stan H.
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