2. Consider a collection of 4 suite-mates. They choose which one of them (exactl

Question

2. Consider a collection of 4 suite-mates. They choose which one of them (exactly 1 of them) goes to the store on Wednesday night.

2a. How many outcomes are there?

2b. How many possible events are there?

2c. Suppose on Friday they need to buy a lot of food for the weekend, so they choose (exactly) two suite-mates to go together to the store on Friday. (You can completely ignore what happened on Wednesday.) How many outcomes are there for the pair of Friday shoppers?

2d. Same scenario as (2c). How many possible events are there for the pair of Friday shoppers?

Explanation / Answer

(a) C(4,1) means choosing 1 suitemates out of 4 So,There are 4 outcomes,  

(b)

24=16 possible events.

(c) C(4,2) means choosing 2 suitemates out of 4 So,(4*3) / 2=6 There are 6 outcomes,  

(d)

2^6=64 possible events.

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