Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing


nPr=3024,then how to calculate the value of r?

  • one year ago
  • one year ago

  • This Question is Open
  1. AddemF
    Best Response
    You've already chosen the best response.
    Medals 3

    The solution is not determined. One possible set of values is n=3024, r=1.

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

    To find other solutions you can try factoring the number to prime decomposition. This produces 7*(3^3)*(2^4). We want to group these so that the resulting grouped factors are descending by increments of 1. I can see already that we can get 9 (=3^2) and 8 (=2^3) and there's a 7. The remaining factors are 3 and 2, which group together and make 6. Thus we have a good descending order, 9*8*7*6. This is 9P4, so another value of r is 4. I conjecture that this is the exhaustive set of solutions for r.

    • one year ago
    • Attachments:

See more questions >>>

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...


  • 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.