Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

ezhyl_marie

  • 10 months ago

16 teams enter a competition. They are divided up into four pools(A, B, C,D) of four teams each. every team plays one match against the other teams in its pool. After the pool matches are completed: *the winner of pool A plays the second placed team of pool B *the winner of pool B plays the second placed team of pool A *the winner of pool C plays the second placed team of pool D *the winner of pool D plays the second placed team of pool C The winners of these four matches then play semi-finals, and the winners of the semi-finals play in the final. how many matches are played altogether?

  • This Question is Closed
  1. ezhyl_marie
    • 10 months ago
    Best Response
    You've already chosen the best response.
    Medals 0

    help me ..

  2. ezhyl_marie
    • 10 months ago
    Best Response
    You've already chosen the best response.
    Medals 0

    it is a probability question. What formula did you used ?

  3. Yttrium
    • 10 months ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Let's consider the first case. for every pool there are 4 groups right? I think we can use here the 4P4 = 24

  4. ezhyl_marie
    • 10 months ago
    Best Response
    You've already chosen the best response.
    Medals 0

    hm. then ?

  5. ***[ISURU]***
    • 10 months ago
    Best Response
    You've already chosen the best response.
    Medals 0

    the number of way that a set of n can be arrange is given by n!

  6. ***[ISURU]***
    • 10 months ago
    Best Response
    You've already chosen the best response.
    Medals 0

    The number of matches played in each Pool = (4 × 3)/(2 × 1) = 6 So the total number of Pool matches = 4 × 6 = 24 The winners and second placed teams play a further 4 matches. Then there are 2 semi-finals and 1 final So the total number of matches = 24 + 4 + 2 + 1 = 31

  7. Yttrium
    • 10 months ago
    Best Response
    You've already chosen the best response.
    Medals 0

    then there are four battles for the case 2 (after pool matches are comleted) = 4 then case 3 (winners of case 2 to fight for semi-finals) = 2 case 4 (battle for finals) = 1 Hence it is 24+4+2+1 = 31

  8. 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.