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The formula for probability is on page 558 in section 10-1: you divide the number of ways that the event you are interested in can happen by the total number of outcomes. For this part 2 question you will need to use the Combinations rule to determine both numbers for the probability formula. This combination rule is on page 579 in section 10-3 and example 4 shows the application of this rule. To see an example similar to your probability question look at example 1 in section 10-5 starting on page 591.

Write out each step.

An engineering company has 5 openings, and the applicant pool consists of 10 database administrators and 9 network engineers. All are equally qualified so the hiring will be done randomly. What is the probability that the random selection will result in all network engineers?