SOLUTION: In a class of 18 students made up of 10 females and 8 males, a slate of officers (class president, class secretary, and class treasurer) will be selected. Assuming that a student m

Algebra ->  Permutations -> SOLUTION: In a class of 18 students made up of 10 females and 8 males, a slate of officers (class president, class secretary, and class treasurer) will be selected. Assuming that a student m      Log On


   

Question 1194203: In a class of 18 students made up of 10 females and 8 males, a slate of officers (class president, class secretary, and class treasurer) will be selected. Assuming that a student may not hold more than one office, how many of these slates will be all male?
Answer by math_helper(2461) About Me  (Show Source):
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8 choices for President

7 choices for Secretary

6 choices for Treasurer



8*7*6 (= 8P3 = 8!/(8-3)! )  = 336 slates