Solve the problem.
-A pollster wants to minimize the effect the order of the questions has on a person's response to a survey. How many different surveys are required to cover all possible arrangements if there are 6 questions on the survey?
A) 36
B) 6
C) 720
D) 120

Question

Quizplus · Accepted Answer

There are 6 questions and each question can be placed in 1 of the 6 positions. Therefore, there are 6 options for the first question, 5 options for the second question, 4 options for the third question, and so on. Thus, the total number of possible arrangements is:
6 x 5 x 4 x 3 x 2 x 1 = 720
Therefore, 720 different surveys are required to cover all possible arrangements. There are 6 questions, so there are 6! = 720 possible arrangements. Therefore, the minimum number of surveys required to cover all possible arrangements is 720.

Solve the Problem. -A Pollster Wants to Minimize the Effect the Order of the Order