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4 votes
Karla is creating a survey with 6 questions. She suspects that the order of the questions may influence the

responses, so she wants to create multiple versions of the survey with the same 6 questions in different orders.


How many unique ways are there to arrange the questions?



Helpppppp!!!!!

User Hyejung
by
3.2k points

2 Answers

9 votes

Final answer:

Karla can arrange the 6 questions in her survey in 720 unique ways, using permutations calculated as 6 factorial (6!).

Step-by-step explanation:

Karla wants to find out how many unique ways there are to arrange 6 questions in her survey. The answer to this can be found by calculating the number sequence's permutations, which is the number of ways to arrange a set of items where the order does matter. Since there are 6 questions, we need to find the value of 6 factorial (6!).

6 factorial is calculated as:

  • 6 × 5 × 4 × 3 × 2 × 1

This multiplication gives us 720, so there are 720 unique ways to arrange the 6 questions.

User Hannes Erven
by
3.3k points
11 votes

Answer:

There are 720 different ways.

Step-by-step explanation:

6! = 720

(1*2*3*4*5*6)

User Alexander Rolek
by
3.5k points