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A small college with 1,200 total students has a student government of 40 members. From its members, the student government will elect a president, vice president, secretary, and treasurer. No single member can hold more than 1 of these 4 positions.
The permutation formula nPr can be used to find the number of unique ways the student government can arrange its members into these positions.
What are the appropriate values of n and r?

n=◻

r=◻

A small college with 1,2001,200 total students has a student government of 4040 members. From its members, the student government will elect a president, vice president, secretary, and treasurer. No single member can hold more than 11 of these 44 positions. \newlineThe permutation formula nPrnPr can be used to find the number of unique ways the student government can arrange its members into these positions. \newlineWhat are the appropriate values of nn and rr?\newlinen=n= \square\newliner=r= \square

Full solution

Q. A small college with 1,2001,200 total students has a student government of 4040 members. From its members, the student government will elect a president, vice president, secretary, and treasurer. No single member can hold more than 11 of these 44 positions. \newlineThe permutation formula nPrnPr can be used to find the number of unique ways the student government can arrange its members into these positions. \newlineWhat are the appropriate values of nn and rr?\newlinen=n= \square\newliner=r= \square
  1. Total Members: nn represents the total number of members to choose from, which is the size of the student government.\newlinen=40n = 40
  2. Positions to Fill: rr represents the number of positions to be filled, which is 44 (president, vice president, secretary, and treasurer).\newliner=4r = 4
  3. Using Permutation Formula: Now, we can use the permutation formula nPrnPr to calculate the number of unique ways to arrange the members into these positions. However, since we were only asked to find the values of nn and rr, we don't need to calculate the permutation.

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