How Many Ways Can You Solve This Permutation Problem?

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The discussion revolves around solving a permutation problem, with initial answers provided as 144 ways, 2!*4!*3!, and 12*5!. A participant questions the correctness of the first answer, suggesting it should be 1440, calculated as 5P3 * 4! = 1440. Another participant corrects the misunderstanding, indicating that the answer is actually 4!3!. The conversation emphasizes the importance of showing the full solution process rather than just listing answers. Overall, the participants are collaboratively refining their understanding of permutation calculations.
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Homework Statement


http://i49.tinypic.com/2hoeghs.png

Homework Equations



The Attempt at a Solution


(i) 144 ways
(ii) 2!*4!*3!
(iii) 12*5!
these are my answers
 
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looks ok

what is worrying you about that? :confused:​
 
are my answers correct?
 
They look correct to me.
 
Ok Thanks
 
Generally, for 'The Attempt At A Solution' you should show what you actually did, not just list the answers.
 
@HallsofIvy
sorry for that next time I will post my full attempt.
 
Shouldn't the answer to (i) be 1440

5P3 * 4! = 1440

The rest look fine to me.
 
hms.tech said:
Shouldn't the answer to (i) be 1440

5P3 * 4! = 1440

The rest look fine to me.
No, it's 4!3!. How do you get 1440?
 
  • #10
I think you right, I made a mistake understanding the question .
Thanks
 

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