BTGmoderatorDC wrote:Five people are running in a race. The first three to finish win gift certificates. How many different groups of people could win the gift certificates?
A. 5
B. 10
C. 60
D. 120
E. 125
OA B
Source: Princeton Review
Since any 3 out of 5 can win gift certificates, the number of different groups of people could win the gift certificates = 5C3 = 5C2 = (5.4) / (1.2) = 10 groups
Though the order of first, second and third places would matter, it does not matter in winning gift certificates. For example, D being first, B being second and A being third AND B being first, A being second and D being third is a group with the same 3 people.
The correct answer:
B
Hope this helps!
-Jay
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