Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

lirffej

  • one year ago

how many different words can be formed from the word COMPLETE?..

  • This Question is Closed
  1. sauravshakya
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    8!/2!

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

    what are those words??..can you explain why come up of that solution?

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

    n! = n*(n-1)*(n-2)*...*3*2*1

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

    There are 8 letters. To make words, you put the letters down, one by one. The first one can be chosen in 8 ways. The second in 7 ways. You've got 8*7 =56 possibilities already! This continues all the way down to the last letter. So you have 8*7*6*5*4*3*2*1 possibilities. The mathematical notation for this is 8!

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

    One problem to solve: there are 2 E's so we have counted too much. We have to divide by the number of same possibilities if the two E's are switched. This switching of E's can be done in 2*1 = 2! ways. End result: 8!/2! = 20160

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

    are you sure of that??

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

    Surprising many, isnt it?

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

    @ZeHanz are you sure??

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

    Sure I'm sure!

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

    If you read carefully what I wrote, you'll come to the same conclusion. There is no escape. There are surprisingly many ways to make words with 8 letters...

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

    20160 words??

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

    Of course, most words would be difficult to pronounce and without meaning. Nevertheless, there are 20160 possibilities, If you find that hard to grasp, just try with fewer letters: If you have 1 letter, you can make only one "word". With 2 letters, the firat one can be chosen from 2, the second has only one possibility. So: 2*1 3 letters: 3*2*1 = 6 4: 4*3*2*1 = 24 It goes up really fast!

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

    ok..thanks,now i understand..

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

    YW!

  15. 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.