1. Your company manufactures three different types of satellites (Types A, B, an
ID: 3068339 • Letter: 1
Question
1. Your company manufactures three different types of satellites (Types A, B, and C) and they have teams working on rescarch, development, and support for cach. The company recently hired 12 new employces. Five of these new employces will be assigned to support satellite A, 3 wll be assigned to support satellite B, and 4 will be assigned to support satellite C (a) 1.5 points) How many different ways are there to distribute the 12 new (distinct) employees to the three different support teams? Indicate your reasoning. b) 3 points] If employees are randomly distributed to the three support teams, and 4 of the new employees are WCU graduates, what is the probability that 2 WCU graduates are assigned to support satellite B? Indicate your reasoning along with your calculations and formulas.Explanation / Answer
a)
5 employees to support Satellite A can be selected in 12C5 ways
3 employees for Satellite B can be selected in 7C3, and for C 4C4
Hence, total possilble ways are 12C5 * 7C3 * 4C4 = 27720
b)
4 employees are WCU graduates, If we select employees to support satellite B, 2 WCU graduates can be selected in 4C2 ways and 1 can be selected in 8C1
Hence, total possible selections are (4C2*8C1) * (9C5) * (4C4) = 6048
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