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Problem Solving (PS) | Re: A committee of 3 has to be formed randomly from a group of 6 people.

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pmal04 wrote:

A committee of 3 has to be formed randomly from a group of 6 people. If Tom and Mary are in this group of 6, what is the probability that Tom will be selected into the committee but Mary will not?


A. \(\frac{1}{10}\)

B. \(\frac{1}{5}\)

C. \(\frac{3}{10}\)

D. \(\frac{2}{5}\)

E. \(\frac{1}{2}\)


(C) 2008 GMAT Club - m23#30


The total number of committees of 3 people from a group of 6 people that can be formed is 6C3 = (6 x 5 x 4)/(3 x 2) = 20. The number of committees can be formed in which Tom will be selected
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