Solve the problem.
-In how many ways can a class president and a class secretary be chosen from a group of 7 candidates?
A) 42
B) 210
C) 14
D) 13

Question

Quizplus · Accepted Answer

The number of ways to choose a class president and a class secretary from 7 candidates is calculated using permutations since the order matters (choosing person A as president and person B as secretary is different from choosing person B as president and person A as secretary). The formula for permutations is P(n, r) = n! / (n-r)!, where n is the total number of items and r is the number of items to choose. Here, n = 7 (candidates) and r = 2 (positions to fill), so P(7, 2) = 7! / (7-2)! = 7! / 5! = 7 × 6 = 42.

Solve the Problem. -In How Many Ways Can a Class President and a President