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2 June, 22:52

There are 7 empty lockers in a school hallway. in how many different ways could 4 new students be assigned to lockers?

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  1. 2 June, 23:08
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    This can be solved using the combination formula C (n, r), where n is the number of objects (lockers) and r is the sample (number of students).

    There are 7 lockers and 4 students, so it would be written as C (7,4)

    = 7! / (4! (7-4) !)

    = 7*6*5*4*3*2 / ((4*3*2) * (3*2))

    =5040 / (24*6)

    =5040/144

    =35

    There are 35 different ways.
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