Bunuel wrote:
Ten nominees for three business awards are randomly seated at the 10 places at a round table. Three of these nominees are then called up together to receive the three awards. What is the probability that no two adjacent seats will be left empty?
A. 1/3
B. 2/5
C. 5/12
D. 7/16
E. 1/2
We need to find the probability that no two winners are sitting together.
Using the circular permutations formula (n - 1)!, we see that the total number of ways 10 people can sit around a table is (10 - 1)! =
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