Gr.12 Data Management

posted by .

Anwar is stringing wooden beads on a leather thong. He has twelve beads of various sizes and will tie a knot in the thong when he has put them all onto it. How many different necklaces could he make? (Hint: Does the exact opposite order of beads produce a different necklace?)

  • Gr.12 Data Management -

    This type of problem always leads to a lively discussion.
    Problem: can the beads be moved past the claps ?
    If so, does moving one or more beads from one side to the other without opening the clasp constitute a different necklace?
    The general answer to that is no.

    (Think of some keys on a keyring.
    Flipping the keys around on the ring does not produce a different keyring arrangement, nor does turning the keyring over, only opening the ring itself will produce a new keychain. )

    So here is my solution:
    Use one of the beads as a "marker", then the others can be arranged in 11! ways.
    We then have to divide by 2 to eliminate the opposite order of beads which would not be a new necklace

    so I would say: 11!/2

  • Gr.12 Data Management -

    Its 12!/2 man

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    Michelle is making 8 identical necklaces by stringing beads together. To make one necklace, se will repeat the pattern of beads shown four times. How many purple and yellow beads will be needed to make all eight necklaces?
  2. math

    mary has 108 red beads and 90 green beads she wants to use all the beads. how many necklaces can she make and how many of each color will be on each necklace
  3. math

    Gemma is making necklaces. She needs 10 beads for each one. She has 64 beads altogether. how many necklaces can she make?
  4. 6th grade math

    Cameron is making bead necklaces. Hehas 90 green beads Nd 108 blue beads. what is the greatest number of identical necklace es he can make if he wants to use all the beads
  5. math

    Cameron is making bead necklaces. He has 90 green beads and 108 blue beads. What is the greatest number of identical necklaces he can make if he wants to use all the beads?
  6. 5th grade math help

    a bead shop sells wooden beads for 3 dollars each and glass beads for 7 dollars each Write a function rule to represent the total selling price of wooden (w) and glass (g) beads. Is it W t G = 10 ?
  7. Math

    cameron is making bead necklaces. he has 90 green beads and 108 blue beads. what's the greatest number of identical necklace he can make if he wants to use all the beads
  8. Algebra 1 (Reiny)

    Samantha is making beaded necklaces using 54 glass beads and 18 clay beads. She wants each necklace to have the same number of beads, but each necklace will have only one type of bead. If Samantha puts the greatest possible number …
  9. math 4th grade

    Anna has 32 red beads, 16 blue beads, and 8 green beads. She wants to put an equal number of each kind of bead on necklaces she is making. How many of each kind of beads can Anna put on each necklace?
  10. math

    Juanita is making necklaces to give as presents she plans to put 15 beads on each necklace beads are sold in packages of 20 what is the least number of packages she can buy to make necklaces and have no beads leftover over

More Similar Questions