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GMAT Problem Solving (PS) | Re: A child throws six differently colored candies up in the air. How many

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Bunuel wrote:

A child throws six differently colored candies up in the air. How many different possible groups of at least one candy are there that she could catch in her mouth?

A. 50
B. 51
C. 62
D. 63
E. 72


Since the order of the candies within a group of candies doesn’t matter, this is a combination problem.

Number of ways the group of candies consists of exactly 1 candy: 6C1 = 6

Number of ways the group of candies consists of exactly 2 candies: 6C2 = (6 x 5)/2 = 15

Number of ways the group of candies
...

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