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. A class elects two officers, a president and a secretary/ treasurer, from its 12 members. How many different
ways can these two offices be filled from the members of the class?

  • math -

    ways to arrange 12 in groups of 2:
    binomial coefficient
    C(12,2) = 12!/[2!*10!]
    = 12*11/2 = 66
    or use Pascal's triangle, third element in 13th row.

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