Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

tim93

  • 2 years ago

A committee of size five is selected from a group of ten clowns and twelve lion tamers. (a) How many dierent committees are possible? (b) How many committees are possible if there must be exactly two clowns on the committee? (c) How many committees are possible if lion tamers must outnumber clowns on the committee?

  • This Question is Closed
  1. tim93
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    a) = 22 choose 5 ???

  2. satellite73
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    first one is straightforward yes? no restrictions it is \[\dbinom{22}{5}\]

  3. satellite73
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yup

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

    |dw:1341688571130:dw|

  5. tim93
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    b) 10 choose 2 plus 12 choose 3

  6. satellite73
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    which really just restates the question because \(\binom{22}{5}\) reads 22 choose 5" and means the number of ways to choose 5 from 22

  7. satellite73
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    counting princple times not plus

  8. tim93
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    sorry, times for all combinations, not plus

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

    |dw:1341688655070:dw|

  10. satellite73
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    last one will require an addition because it is an "or" statement no clowns or one clown or two clowns

  11. tim93
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    aha, i was thinking along those lines...thanks guys, see you next chapter

  12. satellite73
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    what @cinar said

  13. rachelk09
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Is there any possible way you can show how to do out the (22 5) I'm a little confused about that part of things?

  14. 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.