Employee Selection. Four sales representatives for a company are to be chosen to

Question

Employee Selection.
Four sales representatives for a company are to be chosen to participate in a training program. The company has eight sales representatives, two in each of four regions. In how many ways can the four sales representatives be chosen if a) there are no restrictions and b) the selection must include a sales representative from each region? c) What is the probability that the four sales representatives chosen to participate in the training program will be from only two of the four regions if they are chosen at random?

Explanation / Answer

a. 70

There are 8C4 = 70 ways to select 4 reps out of 8


b. 16

Within each region are 2 reps, so there are 2C1 = 2 ways to select 1 rep from a region.

Since there are 4 regions, there are 2^4 = 16 ways to choose 1 rep from each region


c. .086

There are 4C2 = 6 ways to select the two regions. Also, once a region is selected, there are 2C2 = 1 way to select both reps

P = (6 x 1) / 70 = 0.086

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