Solve the problem.
-How many ways can a class president, a class secretary, and a class treasurer be chosen from a group of 8 candidates?
A) 21
B) 1680
C) 336
D) 24

Question

Quizplus · Accepted Answer

The number of ways to choose a class president, a class secretary, and a class treasurer from a group of 8 candidates is a permutation problem because the order in which the positions are filled matters. The formula for permutations is P(n, r) = n! / (n-r)!, where n is the total number of items to choose from, r is the number of items to choose, and "!" denotes factorial, which is the product of all positive integers up to that number. Here, n = 8 (the total candidates) and r = 3 (the positions to be filled). Thus, P(8, 3) = 8! / (8-3)! = 8! / 5! = (8 * 7 * 6 * 5!) / 5! = 8 * 7 * 6 = 336.

Solve the Problem. -How Many Ways Can a Class President, a Class Secretary