Kennedy High School is going to select a committee. The committee will have a fa

Question

Kennedy High School is going to select a committee. The committee will have a faculty member, a male student, a female student, a parent, and a school board member.

Here are the positions and the people interested in each.

Based on this list, how many ways are there to fill the five committee positions?

Position   People Interested Faculty Member Ms. Tanaka, Mrs. Parker Male Student Hans, Boris, Justin, Aldo, Deon, Henry Female Student Nicole, Susan, Maria, Jane, Mary, Amy Parent Mrs. Roberts, Mrs. Morgan, Mr. Mitchell School Board Member Mrs. Turner, Ms. Hayes, Mr. Thompson

Explanation / Answer

Faculty member --2 ways

Male student ---6 ways

Female student --6 ways

Parent ---3 ways

School Board member ---3 ways

Total numner of ways of forming a committe of 5 =2x6x6x3x3 = 648 ways

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