SOLUTION: kisha has five different marbles. How many different ways can she place the marbles into two bags so that at least one marble is in each bag a 15 b 60 c 30 d 25

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Question 626540: kisha has five different marbles. How many different ways can she place the marbles into two bags so that at least one marble is in each bag
a 15
b 60
c 30
d 25

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
kisha has five different marbles. How many d
ifferent ways can she place the marbles into two bags so that at least one marble is in each bag
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pick a bag: 2 ways
Put at least 1 marble in the bag:
Note: each of the 5 marbles is either in or not in the 1st bag: 2^5 = 32 ways
But the bag cannot have 0 marbles and cannot have all 5 marbles.
2^5-2 = 30 ways
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Ans: 2*30 = 60 ways
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Cheers,
Stan H.
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a 15
b 60
c 30
d 25