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Math Help - Combinatorics question

  1. #1
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    Combinatorics question

    In the question: How many ways can a president, vice-president and treasuer be choosen from an organization with 12 members?

    Would i use P(12, 3) =1320 ways
    or
    would i use C(12,3)x3!= 1320 ways

    does it make a difference?

    thanks
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  2. #2
    Lord of certain Rings
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    Quote Originally Posted by Mathematicker View Post
    In the question: How many ways can a president, vice-president and treasuer be choosen from an organization with 12 members?

    Would i use P(12, 3) =1320 ways
    or
    would i use C(12,3)x3!= 1320 ways

    does it make a difference?

    thanks
    Does not make a difference to the answer. But it makes a difference to the way you think.

    P(12,3) says you are arranging 3 people out of 12 in some order(here the posts)

    C(12,3) x 3! says first you choose 3 guys out of 12 and then you assign them their posts.

    Well they are almost similar...
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  3. #3
    Moo
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    Hello,
    Actually, you can relate the two definitions.
    The "P" (dunno the English name for it) is very similar to a combination problem, but you have to consider the order.

    You can use both P(12,3) and C(12,3) x 3!
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