SOLUTION: Please help i am kinda confused.' 5. At Grant senior high school, there are 15 names on the ballot for the junior class officers.Five will be selected to form a class committee.

Algebra ->  Permutations -> SOLUTION: Please help i am kinda confused.' 5. At Grant senior high school, there are 15 names on the ballot for the junior class officers.Five will be selected to form a class committee.       Log On


   



Question 1081073: Please help i am kinda confused.'
5. At Grant senior high school, there are 15 names on the ballot for the junior class officers.Five will be selected to form a class committee.
b. In how many ways can a committee of 5 be formed if each student has a different responsiblity?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
When they say that each student has a different
responsibility, it means there are 5 different jobs
on the committee, and the order of the same 5
people selected matters, as in:
1, 2, 3, 4, 5 is different from
2, 1, 3, 4, 5
so, permutations, not combinations are used
---------------------------------------------
P( 15, 5 ) = +15%21+%2F+%28+15+-+5+%29%21+
P( 15, 5 ) = +15%21+%2F+10%21+
P( 15, 5 ) = +15%2A14%2A13%2A12%2A11+
P( 15, 5 ) = +360360+
There are 360,360 ways to form a committee
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