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

LyraElizabethAdams

I need some help, please! :) . . . "Explain why the following sentences are INCORRECT: John has 3 suits, 10 shirts, and 12 neckties.  He will need to buy some more clothes if he wants to come to work each work day in a different outfit for a whole year."

  • one year ago
  • one year ago

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

    We can assume that an outfit would just be the combination of a suit, shirt, and necktie. When tasks are done in parallel (you must do one task or the other), then their sum is the total number of combinations. When tasks are done in sequence (you must do all tasks), then their product is the total number of combinations.

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

    In this case, it is a sequence of tasks. So we multiply the number of ways to do the task.

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

    The only ambiguity here is if he can go to work without a tie, shirt, or suit. In that case, we could add 1 to each task.

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

    Okay, I do understand that part. Here's where I'm confused, though. Should I do: (3)(10)(12) = 360? or should it be 360C3 (because you have a total of 360 choices, but you can only choose 3 per day?

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

    It is NOT 360 choose 3. We would use 360 choose 3 if he had 360 articles of clothing, and any combination of 3 articles is an outfit.

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

    Why doesn't John choose 3?

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

    Because he can't do something like wear 3 shirts and call that an outfit.

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

    Oh, I see. Oh, so should I do either 25C3 or 25P3 ?

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

    No, it is not a complicated problem like that. It's just multiplication.

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

    Oh, okay. So just (3)(10)(12) = 360 ?

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

    The only detail that is important is if he can do something like NOT wear a necktie or NOT wear a suit.

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

    because that would mean we'd have something like (3+1)(10+1)(12+1)

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

    Okay, I'll remember that.

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

    But if he must have all three, then yes, 360 is correct.

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

    Okay, great - thanks so much! :D

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

    ok by the fundamental theorem of counting John has 3 x 10 x 12 = 360 possible clothing combinations... assuming he works 365 days a year he is 5 combinations short...

    • 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.