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    tswedish's Avatar
    tswedish Posts: 1, Reputation: 1
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    #1

    Jul 13, 2009, 06:33 AM
    Permutations or combinations
    A teacher has 8 students. They pose for a picture by standing in a single line. If the teacher stands on either end of the line, how many different arrangements of the 9 people are possible?
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
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    #2

    Jul 13, 2009, 06:40 AM

    The number of arrangements of the students is:

    8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 8! = 40320

    Now the teacher can have only two different positions together with the whole group of students, so 'x 2'

    The total combinations will be the product of the number of arrangements of the students and that of the teacher.

    Hope it helped! :)
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