Please Explain well A constractor has 8 suppliers from which

Please Explain well!!!

A constractor has 8 suppliers from which to purchase electrical supplies. He will select 3 of these at random and ask each supplier to submit a project bid. In how many ways can the selection of bidders be made? If your firm is one of the 8 suppliers, what is the probability that you will get the opportunity to bid on the project?

Solution

a)

Order does not matter here, so we use combinations.

Hence, there are 8C3 = 8!/(3!5!) = 56 ways to select bidders. [ANSWR, 56]

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b)

If you are one of those selected, then you have 7C2 = 21 ways to choose the othr 2 companies.

Hence, the probability of you being chosen is

P = 21/56 = 3/8 [ANSWER]