A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

Using mathematical induction to prove the following-; If there are n participants in a knock out tournament then prove that (n-1) matches will be needed to declare the champion

  • This Question is Closed
  1. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    induction eh.... the intuition is there, but how to "prove" it is fuzzy. I remember reading something about: taking a concrete example like n=3 and deducing that the rule follows from that example; then take another concrete example like n=5 and following it thru to the end, then use k for the example, then conclude the results. proofs have never been my strong point :)

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

    well we start with n = 2 and see that the proposition is true, mean if there are two players, only 1 match is needed

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

    then suppose that it is true for n= k, meaning that if k players participate, we need k-1 matches, n using this supposition we show that the given proposition is true for k +1 players

  4. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    uzma's got it ;)

  5. 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.