117k views
4 votes
How many ways are there to arrange 1,2,3,4,5 in a line, such that n is not in the nth position?

For Example: 2,1,3,4,5 is not valid because 3 is the 3rd in the line but 2,1,4,5,3 is valid because none of the numbers are in their original position.

User Britodfbr
by
8.5k points

1 Answer

4 votes

Answer:

256 ways

Explanation:

Okay so n cannot be in the nth place, but there are 5 places available.

So thinking about it technically you can have 4 of each number in a different spot not their own, and 4x4x4x4 = 256

However, if that doesn't work, you could try 4! which is 4x3x2x1 = 24

Hope that helps :)

User Vering
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories