Question

34.) A company that has 9 employees wants to select 4 employees to go on a business trip. How many possible groups of 4 employees are there? A resort hotel has a swimming pool, a tennis court, a golf course, and a gym. A person staying at the hotel wants to choose 3 of the activities and put them in order to create a schedule for the day. How many different schedules could the person create? (Show your work for expanding the factorials and canceling numbers for both questions)

Answer 1

Please note and

(a) The possible groups of 4 employees that can be chosen out of 9 = 9C4

Therefore there are 126 different combinations which are possible.

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(b) There are 4 activities, of which 3 have to be chosen for a schedule, and order is important.

Therefor we order 3 of the 4 in 4P3 ways

Therefore, there are 24 different schedules that are possible.

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