Solve the problem

A pollster wants to minimize the effect the order of the questions has on a persons response to a survey. How many different surveys are required to cover all possible arrangements if there are 8 questions on the survey?

The number of possible arrangements of 8 questions is 8! (8 factorial), which is equal to 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40,320.

Therefore, the pollster would need a minimum of 40,320 different surveys to cover all possible arrangements of the 8 questions.