Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Ishaan94

  • 2 years ago

A simple combinatorics problem. Word 'SUCCESS'. Number of ways such that no two Ss and Cs are together.

  • This Question is Closed
  1. Ishaan94
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    @eliassaab @blockcolder

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

    my guess is 360....idk if i solved it rite....anyone??

  3. Ishaan94
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    360!?! :o How?

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

    well its wrong sry!!

  5. Ishaan94
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    Of course it is.

  6. ganeshie8
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    396 ?

  7. Ishaan94
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    Noway Dude

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

    factorial of 6??

  9. Ishaan94
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    Nope

  10. Ishaan94
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    Stop guessing. Take your time and work on the problem.

  11. Ishaan94
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    And for your information, this problem is not some challenge. I don't know how to do it. So you will have to show your work.

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

    |dw:1340534838304:dw| can be interchange so that no S are together in only 2 ways........ |dw:1340534915656:dw| 6 spaces can be filled by 2 Es in ....6c3/2 ways...... |dw:1340534979616:dw|.. so final answer is 15

  13. Ishaan94
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    No the answer is not 15.

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

    The complement of "no 2 S's and C's are together" is "2 S's or C's are together." 2 S's or C's together = 2 S's together + 2 C's together - 2 S's and 2 C's together 2 S's together = 5! by considering the 3 s's as 1 2 C's together = 6! by considering 2 c's as 1 2 S's and 2 C's together = 4! So it's 7!-(5!+6!-4!)=4224 ways.

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

    Number of Letters/Characters in the word "SUCCESS" = 7 {S, U, C, C, E, S, S} No. of Letters : of the first kind ⇒ No. of S's = 3 ⇒ a = 3 of the second kind ⇒ No. of C's = 2 ⇒ b = 2 which are all different = 2 {U, E} ⇒ x = 2 = n=7!/3! × 2! = 7 × 6 × 5 × 4 × 3 × 2!/3 × 2 × 1 × 2! = 7 × 6 × 5 × 4 × 3 = 2,520

  16. Ishaan94
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    blockcoder you are including too many repetitive arrangements

  17. ganeshie8
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    answer cannot be more than 420

  18. Ishaan94
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    _S_S_S_ 4 spaces, 4 choices {C, C, E, U}. 4!/2! = 4*3 = 12. S_S_S__ -> 12 __S_S_S -> 12 So, 12 + 12 + 12 = 36. Haha Got it. Thanks all.

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

    yeah i got it thanks!!

  20. Callisto
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    What about S__S_S_ , S_S__S_?

  21. Ishaan94
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    :(

  22. Ishaan94
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    I think, I included two repetitions

  23. Ishaan94
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    Ohh CCS_S_S and S_S_SCC isn't possible. It still comes out to be 36. Thanks Callisto.

  24. Callisto
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    If.... you have time.... and if ..... you don't mind, can you explain??

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

    Search OpenStudy
    • 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.