SOLUTION: A committee is to be chosen from a group of fourteen women and twelve men. Determine the number of ways of choosing a female president, a male treasurer, and three other members (o

Algebra ->  Permutations -> SOLUTION: A committee is to be chosen from a group of fourteen women and twelve men. Determine the number of ways of choosing a female president, a male treasurer, and three other members (o      Log On


   



Question 1155200: A committee is to be chosen from a group of fourteen women and twelve men. Determine the number of ways of choosing a female president, a male treasurer, and three other members (order doesn't matter) of either gender. Assume that no one can hold more than one office.
Answer by ikleyn(52835) About Me  (Show Source):
You can put this solution on YOUR website!
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There are 14 ways to select a female president from 14 women;


there are 12 ways to select a male treasure from 12 men;


Finally, there are  C%5B24%5D%5E3  ways to select three other members (order doesn't matter) from remaining 13+ 11 = 24 persons.

Hence, the answer to the problem's question is  14%2A12%2AC%5B24%5D%5E3  ways.


Having the formula, you can calculate the value on your own.