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Math Help - I have a statistics test and need help ASAP, thanks to you all

  1. #1
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    I have a statistics test and need help ASAP, thanks to you all

    1. A company decides to fire 5 out of its 15 managers. The 5 fired managers were selected at random. What is the probability that the 5 randomly selected managers to be fired will be the oldest members of the company?

    2. A company has 12 members on the board of directors.
    a. If they must select a president, vice president, second vice president and secretary, how many different slates of candidates are possible
    b. If they must form an ethics subcommittee of four members, how many different subcommittees are possible.

    Thanks for your assistance

    Eric
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  2. #2
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    Quote Originally Posted by ericndofor View Post
    1. A company decides to fire 5 out of its 15 managers. The 5 fired managers were selected at random. What is the probability that the 5 randomly selected managers to be fired will be the oldest members of the company?
    So, we know who the 5 oldest managers are. How many ways are there to select 5 people when you're choosing all 5 of them? Once we do that, since this is a probability problem, let's divide by the number of ways to select 5 managers from 15.

    2. A company has 12 members on the board of directors.
    a. If they must select a president, vice president, second vice president and secretary, how many different slates of candidates are possible
    b. If they must form an ethics subcommittee of four members, how many different subcommittees are possible.

    Thanks for your assistance

    Eric
    These two problems are the same except for one thing: in part a), each candidate has a specific job, so the order they are picked is important. In contrast, problem b) doesn't care about order.

    Which one is the combination problem, which one is the permutation problem? You should have basic formulae for both of them.


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