nmccull wrote:
"I think so too.
a permutation problem is one that is dependent on arrangement. That means : (a,b) is not equal to (b,a).
A combinations problem is one where (a,b) = (b,a).
Here, we are choosing 5 people out of 12.
But a person chosen for president will be a separate combination than to the person chosen as vice president. Thus, arrangement matters.
so its a permutations problem. thus 12P5"
Yes I am pretty confident it is a permutation, but does it need to be adjusted for the fact that there are only 3 unique positions? 12p5 implies 5 unique positions for arrangement, but there are only 3 in this case (president, vice president, and council member).
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You mean that choosing the council members would be a combination while for the three positions it is a permutation ?
lets consider people : a , b, c ,d, e
a as president = 1 way
a as vice president = 1way
a,b,c as council members = 1 way
but a,b,c = b, c, a = c, a, b
thus 3 positions as permutation ?