By using permutation, the college can fill the position in 7 ways.
What is Permutation?
Permutation shows the no. of ways to arrange the objects or elements.
The Formula for the permutation is
P(n, r)= [tex]\frac{n!}{(n-r)!}[/tex]
Given data:
The college needs two additional faculty members a chemist and a statistician. There are five applications for the chemistry position and seven applications for the statistics position.
No. of ways the college can fill the position = no. of ways the college can select Statistics + no. of ways the college can select chemist
By using, the permutation method we can find the no. of ways of selection of both chemist and statistician.
No. of ways the college can fill the position = [tex]5p_{1} +7p_{1}[/tex]
=5+7
=12 ways
The college can fill the position in 12 ways.
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