Quantcast

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

HorseCrazyGirlForever

How many different ways are there to choose 2 of 4 different colors?

  • one year ago
  • one year ago

  • This Question is Closed
  1. HorseCrazyGirlForever
    Best Response
    You've already chosen the best response.
    Medals 0

    If you could explain as well, that would be great! :D

    • one year ago
  2. tcarroll010
    Best Response
    You've already chosen the best response.
    Medals 1

    For your first pick, you can pick any of 4 colors, so that is going to be "4 times something" so far. That leaves 3 colors of which you can pick any of the three. So, you have "4 times 3" so far. Now, you in effect have "double-counted" because the order doesn't matter. So, you have "4 times 3 divided by 2" for your answer. This is 4C2 which is 4!/(2! times 2!)

    • one year ago
  3. HorseCrazyGirlForever
    Best Response
    You've already chosen the best response.
    Medals 0

    The answer is 6?

    • one year ago
  4. tcarroll010
    Best Response
    You've already chosen the best response.
    Medals 1

    btw, "!" notation, the exclamation mark, is "factorial", which is a number times every successive integer under it until you get to 1. Yes, the answer is 6.

    • one year ago
  5. tcarroll010
    Best Response
    You've already chosen the best response.
    Medals 1

    The answer is 6 as long as it doesn't matter which of the 2 colors was chosen first. Then the answer would be 12.

    • one year ago
  6. HorseCrazyGirlForever
    Best Response
    You've already chosen the best response.
    Medals 0

    Okay I see now! Thank you so much. You have helped a ton! :D

    • one year ago
  7. tcarroll010
    Best Response
    You've already chosen the best response.
    Medals 1

    Good luck to you in all of your studies and thx for the recognition! @HorseCrazyGirlForever And you're welcome!

    • one year ago
  8. tcarroll010
    Best Response
    You've already chosen the best response.
    Medals 1

    A good way to visualize that it is 6 and that there is no order to the picking is to imagine grabbing 2 at the same time blindly out of a bag.

    • one year ago
  9. tcarroll010
    Best Response
    You've already chosen the best response.
    Medals 1

    Sounded funny. Visualizing blindly.

    • 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...

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.