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2. A television network executive has a list of 7 sitcoms and 5 reality shows to...

2. A television network executive has a list of 7 sitcoms and 5 reality shows to schedule

a. The executive wants to select one show from the lists to feature in the primetime for each weekend evening, Friday-Sunday. How many different possible arrangements of the shows are there?

b. The executive wants to select 4 shows from the list to cut from the network's lineup. How many options does the executive have for a group of 4 shows to cut?

c. If the executive randomly selects 4 shows, what is the probability that he will choose 2 reality shows and sitcoms?

d. If the executive randomly selects 4 shows, what is the probability that at least one of them will be a reality show?

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