Question 734579: Please help with this question.
Question: There are 8 light switches on the wall that connect to 8 different color lights inside the room. Each switch can either be in the on position or off position.
a.) How many different lighting configurations are possible?
b.) If you wanted to turn 3 of the lights on, how many choices of 3 lights could you make?
c.) If you needed to pick one light to use for an event on Thursday and another light for an event on Tuesday, how many choices for the two lights could you make?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Question: There are 8 light switches on the wall that connect to 8 different color lights inside the room. Each switch can either be in the on position or off position.
a.) How many different lighting configurations are possible?
Ans: 2^8 = 256
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b.) If you wanted to turn 3 of the lights on, how many choices of 3 lights could you make?
Ans: 8C3 = (8*7*6)/(1*2*3) = 56
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c.) If you needed to pick one light to use for an event on Thursday and another light for an event on Tuesday, how many choices for the two lights could you
make?
8*2 = 56 if order makes a difference
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8C2 = 28 if order does not make a difference
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Cheers,
Stan H.
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