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Math Help - Probability Letter Arrangement

  1. #1
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    Probability Letter Arrangement

    Hello there,

    If somebody could assist me with this question I'd be very appreciative:

    "How many ways are there to arrange the letters:"

    1) SEARCH
    2) FORMULAE
    3) HOROSCOPES
    4) DIFFERENTIATE

    Am I right in thinking the answers are:

    1) 6! / 1!
    2) 8! / 1!
    3) 10! / (3!2!) - taking the duplicate o's and duplicate s's as factorials in order
    4) 13! / (3!2!2!) - taking duplicate e's, f's and i's as factorials in order

    Also, are those answers in the format required or would numerical answers be suited? It's been a while so apologies for any obvious mistakes or misunderstandings.

    Regards,
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  2. #2
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    Quote Originally Posted by rel85 View Post
    "How many ways are there to arrange the letters:"
    1) SEARCH
    2) FORMULAE
    3) HOROSCOPES
    4) DIFFERENTIATE
    Am I right in thinking the answers are:
    1) 6! / 1!
    2) 8! / 1!
    3) 10! / (3!2!) - taking the duplicate o's and duplicate s's as factorials in order
    4) 13! / (3!2!2!) - taking duplicate e's, f's and i's as factorials in order
    Also, are those answers in the format required or would numerical answers be suited? It's been a while so apologies for any obvious mistakes or misunderstandings.
    First, all are correct.
    As to the format of the answer, its is the way I want students to leave the answer. Because it clearly shows understanding.

    I say leaveing the first two as just 6!~\&~8! is best.

    But all of this depends on your instructor.
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  3. #3
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    Quote Originally Posted by Plato View Post
    First, all are correct.
    As to the format of the answer, its is the way I want students to leave the answer. Because it clearly shows understanding.

    I say leaveing the first two as just 6!~\&~8! is best.

    But all of this depends on your instructor.
    I see, thank you very much!
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