Answer to Question #279016 in Statistics and Probability for Yosho

Question

Six sales representatives for a company are to be chosen at random to participate in a training program. The company has twelve sales​ representatives, two in each of six regions. What is the probability that the six sales representatives chosen to participate in the training program will be from only three of the six ​regions?

Answer 1

$P=\frac{C^6_6}{C^6_{12}}=\frac{1}{C^6_{12}}=\frac{6!6!}{12!}=0.0011$