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How many ways are there of placing 6 marbles in 4 bowls, if

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by BTGmoderatorAT » Sat Jan 06, 2018 6:51 am
How many ways are there of placing 6 marbles in 4 bowls, if any number of them can be placed in each bowl?

A. 6C4
B. 6P4
C. 4^6
D. 6^4
E. 6!

OA: C
Is there a strategic approach to this question? Can any experts help?
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by elias.latour.apex » Sat Jan 06, 2018 10:38 am
Imagine that we have 6 marbles in our hand and 4 empty bowls. We select one of the marbles. Where can we place it?
In any of the 4 bowls. So we have 4 choices.
Now we have the second marble in our hand. Where can we place it?
Again, in any of the 4 bowls. So we have 4 more choices.
The same goes for the 3rd, 4th, 5th, and 6th marbles.

So the answer is 4 x 4 x 4 x 4 x 4 x 4 or 4^6
Elias Latour
Verbal Specialist @ ApexGMAT
blog.apexgmat.com
+1 (646) 736-7622
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