A pollster wants to minimize the effect the order of the question has on a person response to a survey. How many different surveys are required to cover all posible arrangements if there are 6 questions on the Survey A. 120 B.36 C.720 D. 6

Respuesta :

frika

Answer:

Correct choice is C

Step-by-step explanation:

If there are 6 questions on the survey, then first question can be chosen 1 from 6 - in 6 different ways. After choosing first question, 5 questions remain, second question can be chosen 1 from 5 - in 5 different ways. After choosing second question, 4 questions remain, third question can be chosen 1 from 4 - in 4 different ways. After choosing third question, 3 questions remain, fourth question can be chosen 1 from 3 - in 3 different ways. After choosing fourth question, 2 questions remain, fifth question can be chosen 1 from 2 - in 2 different ways and last sixth question is defined in 1 way.

Using the product rule, you get

[tex]6\cdot 5\cdot 4\cdot 3\cdot 2\cdot 1=720[/tex]

different arrangements.