SOLUTION: In how many ways can 3 different coins be placed in two different purses?

Question 1090586: In how many ways can 3 different coins be placed in two different purses?
Found 2 solutions by Fombitz, ikleyn:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Purse 1:{ }, Purse 2:{ABC}
Purse 1:{A}, Purse 2:{BC}
Purse 1:{B}, Purse 2:{AC}
Purse 1:{C}, Purse 2:{AB}
Purse 1:{AB}, Purse 2:{C}
Purse 1:{AC}, Purse 2:{B}
Purse 1:{BC}, Purse 2:{A}
Purse 1:{ABC}, Purse 2:{ }
.
.
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Eight ways.

Answer by ikleyn(52790) (Show Source): You can put this solution on YOUR website!
.
Answer. By = 8 ways.

Solution

You can put 1-st coin in any of the two purses. It gives you 2 opportunities. You can put 2-nd coin in any of the two purses. It gives you 2 opportunities. You can put 3-rd coin in any of the two purses. It gives you 2 opportunities. In total, you have 2*2*2 = = 8 ways.

Similarly, if you have n coins and 2 purses, then the number of ways is .

Solved.

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