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=□
Q. 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=□
Total Members:n represents the total number of members to choose from, which is the size of the student government.n=40
Positions to Fill:r represents the number of positions to be filled, which is 4 (president, vice president, secretary, and treasurer).r=4
Using Permutation Formula: Now, we can use the permutation formula nPr 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 n and r, we don't need to calculate the permutation.
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