Combination/Permutation

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jessicamuniz: Junior | Next Rank: 30 Posts; Posts: 26; Joined: Thu Jul 17, 2008 1:02 pm

by jessicamuniz » Wed Dec 03, 2008 4:46 am

Hi there, here is simple one, but can somebody explain it to me please. I am still trying to understand the combination / permutation problems.

How many ways can 3 different coins be placed in 2 different bags?

Ans 8
Thanks in advance

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Source: Beat The GMAT — Problem Solving | Wed Dec 03, 2008 4:46 am

xyzabc123: Junior | Next Rank: 30 Posts; Posts: 15; Joined: Wed Nov 19, 2008 8:35 pm; Thanked: 1 times

by xyzabc123 » Wed Dec 03, 2008 6:13 am

let the coins be a nickel, a dime and a quarter.
if none of them is placed in the 1st bag and the rest in the second, we get 1 combinations.
if one of them is placed in the 1st bag and the rest in the second, we get 3 combinations.
if two of them are placed in the 1st bag and the rest in the second, we get 3 combinations.
if all three of them are placed in the 1st bag and nothing in the second, we get 1 combinations.

Sum them all up and you get 8.

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