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Directions: Decide whether the situation requires a permutation or combination. Then, answer the question
either using the formulas or the counting principle. Show your work either way!
a) A television news director wishes to use three news stories on an evening show. One story will be the "lead
story", one will be the second story, and the last will be a "closing story". If the director has a total of eight
stories to choose from, how many possible ways can the program be set up?



Answer :

GinnyAnswer

Final answer:

Permutation is used to calculate the number of ways a news program can be set up with specific news stories in order.


Explanation:

Permutation is needed in this situation because the order of the news stories matters. The total number of ways the program can be set up is calculated as 8P3, using the permutation formula:

8P3 = 8! / (8-3)! = 8 x 7 x 6 = 336 ways.

The director has to choose one lead story, one second story, and one closing story from a pool of eight stories.


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