MATH Help!

Can some one help??
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? ALSO****************

Five numbers are to be picked, without repetition, from 44
numbers to determine the winner of the Fortune Five
game in the state lottery. If the order of the numbers is
insignificant, how many different ways can a winning quintuple be selected? What is the probability of winning?

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  1. If the numbers are all different, there is only one way to win.

    Prob. of winning = (1/44)(1/43)(1/42)(1/41)(1/40) = ?

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