Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

lgbasallote

  • 2 years ago

How many ways can you arrange four people in a row of four seats? is this 4P4?

  • This Question is Closed
  1. GOODMAN
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    No, its 4!

  2. GOODMAN
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    4!= 4*3*2*1

  3. sauravshakya
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    There is only one way

  4. sauravshakya
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    But If u are asking for different arrangement then its 4!

  5. lgbasallote
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[4 P 4 = \frac{4!}{(4-4)!} \implies \frac {4!}{0!} \implies 4!\] @GOODMAN

  6. GOODMAN
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So why go through all the trouble?

  7. LolWolf
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Yep, \(_4P_4\) is correct.

  8. lgbasallote
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    because of this next question im about to ask

  9. lgbasallote
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    what about for arranging 4 people in 5 seats? is that 5P4? and arranging 5 people in 4 seats is also 5P4?

  10. sauravshakya
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Actually both will be 5!

  11. sauravshakya
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    For first case it would be 5*4!=5! For second case it would be 5*4*3*2 = 5!

  12. sauravshakya
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    If u are taking about arrangement

  13. lgbasallote
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ....so they are both 5P4?

  14. sauravshakya
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Yep

  15. sauravshakya
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    I think so

  16. LolWolf
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Yes to both responses. To check we can show that: 4 people in 5 seats: We can always choose a single person whom is not in a seat, and there are 5 ways to do this, while the remaining 4 get a seat, thus: \(5\cdot_4P_4= _5P_4\), while for the latter, we have, simply \(_5P_4\) as the definition of "permute".

  17. lgbasallote
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i think im getting the hang of this

  18. LolWolf
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Sounds good

  19. karatechopper
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So...like 16?

  20. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.