A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

mathmath333

  • one year ago

Their are 6 pieces king,queen,rook bishop,knight and pawn.In how many ways can u arrange them so that king always comes before queen and queen always comes before rook?

  • This Question is Closed
  1. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    what

  2. mathmath333
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \(\large \color{black}{\begin{align} & \normalsize \text{Their are 6 pieces king,queen,rook bishop,knight }\hspace{.33em}\\~\\ & \normalsize \text{and pawn.In how many ways can u arrange them }\hspace{.33em}\\~\\ & \normalsize \text{so that king always comes before queen and queen }\hspace{.33em}\\~\\ & \normalsize \text{always comes before rook? }\hspace{.33em}\\~\\ \end{align}}\)

  3. mathmate
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    _K_Q_R_ 4 ways to put the bishop 5 ways to put the knight 6 ways to put the pawn. 120 ways. Would that be right?

  4. mathmath333
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes 6!/3!

  5. mathmath333
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    what about this cases KQR- - - -KQR- - K- Q- - R

  6. mathmate
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    _K_Q_R_ Say put the biship after R then we have _K_Q_R_B_ that's why 5 places for knight. Say _K_Q_R_B_N_ and the pawn chooses to be last, then _K_Q_R_B_N_P_ (if there is a seventh) so that gives the case KQR___ similarly for other situations.

  7. mathmate
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    Or, another way to look at it, it would be 6! ways in general, but we will tag the 3! arrangements of KQR and use only one, so the result would be 6!/3! as you had it. This is a combinatorial verification!

  8. mathmath333
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ok thnks

  9. imqwerty
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    what about the question u posted yesterday :)

  10. mathmath333
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    http://openstudy.com/users/mathmath333#/updates/55f52326e4b0cf7fa75bbeb9

  11. mathmath333
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I made a conclusion if such question comes in exam i will leave it unsolved and move to next easy question

  12. imqwerty
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    :) wise ( ͡° ͜ʖ ͡°) but maybe theres some trick still hidden somewhere :)

  13. mathmath333
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I will not trust any trick , another conclusion

  14. imqwerty
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    :)

  15. mathmate
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    I hope someone will post a smarter and faster solution. Although that one doesn't take long, it looks complicated, but detailed for the purpose of explaining only.

  16. mathmath333
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    question is closed

  17. mathmate
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    It's ok. I'll keep looking at my end!

  18. mathmath333
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I'll ask my prof for a soln

  19. mathmate
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    @mathmath333 Thank you. Btw, have you done generating functions yet?

  20. mathmath333
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    No, this sounds a higher level maths to me. I haven't studied calculus .

  21. mathmate
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    It's part of combinatorics, NCR (no calculus required). That might be a hint for me where to look though. xD

  22. mathmath333
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    lol i m a newbie in case of math , i only learn things that matters to me

  23. imqwerty
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    kewl :D

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

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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.