Solve the problem.
-A club elects a president, vice-president, and secretary-treasurer. How many sets of officers are possible if there are 9 members and any member can be elected to each position? No person can hold more than one
Office.

Question

Quizplus · Accepted Answer

The number of ways to elect a president, vice-president, and secretary-treasurer from 9 members, with no person holding more than one office, is calculated using permutations since the order of selection matters. The formula for permutations is nPr = n! / (n-r)!, where n is the total number of items, and r is the number of items to choose. Here, n=9 (members) and r=3 (positions), so the calculation is 9P3 = 9! / (9-3)! = 9! / 6! = 9 x 8 x 7 = 504.

Solve the Problem. -A Club Elects a President, Vice-President, and Secretary-Treasurer. How Many