Red and blue beads are being strung to make a bracelet. How many different bracelets can be formed it each bracelet uses exactly 5 beads?

  1. 👍 1
  2. 👎 0
  3. 👁 700
  1. Visualize the beads on a string stretched out in front of you
    A) all blue --- one way

    B) 1 red, 4 blue:
    number of choices = 5!/(1!4!) = 5
    BUT... RBBBB and BBBBR are really the same bracelet, merely flipped, so there are really only 3 of these

    C) 2 red, 3 blue
    number of choices = 5!/(2!3!) = 10
    again , 5 of those are symmetrical, so only 5 of these

    D) 3red, 2 blue
    same as C), --- so 5 of those

    E) 4red, 1 blue
    same as B), so 3 of these

    F) all red ---- one of them

    total = 1 + 3 + 5 + 5 + 3 + 1 = 18

    check my thinking.

    1. 👍 3
    2. 👎 0
  2. 8. If all 5 beads are red, only 1 bracelet can be formed. If 4 beads are
    red and 1 is blue, only 1 bracelet can be made. If 3 beads are red and 2 beads are blue, 2 different bracelets are possible: the blue beads together or separated by the red beads. The symmetry in this situation means that there will be 2 bracelets with 2 red and 3 blue beads, 1 bracelet with 1 red bead, and 1 bracelet with no red beads, for a total of 8 bracelets.

    1. 👍 1
    2. 👎 1
  3. a bracelet is to be made from 2 red and 5 blue beads. how many different bracelets can be made

    1. 👍 2
    2. 👎 0
  4. three

    1. 👍 0
    2. 👎 0
  5. Blue=25 Red=30

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Ivan has 6 times as many blue beads as red beads. He has 49 red and bye beads in all. How many blue beads does Ivan have in all

  2. Math

    Stacey made a necklace using 4 times as many blue beads as red beads. She used a total of 40 beads. How many blue beads did Stacey use?

  3. 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

  4. algebra

    You are buying packages of beads to make bracelets. Each package costs $3 plus 7% tax. You have a gift card for $15, and you plan to use only the gift card to pay for the beads. Which function c(p) represents the total cost, where

  1. Algebra

    Bailey has 21 yards of embroidery floss to make friendship bracelets. if each bracelet requires 2 1/3 yards, how many bracelets can she make?

  2. Algebra

    Bracelets You are making beaded bracelets for your friends. You want to use 30 beads for each bracelet and want to use no more than 145 beads. Write an inequality that models this situation. Can you make 4 bracelets?

  3. Math

    A jar contains 16 beads. 4 beads are red 4 are yellow 5 are green and 3 are blue which is the probability of picking a blue bead? A 3/16 B 3/13 C 1/16 D 1/3 E 1/4 I think its A

  4. Math

    Kelly has 15 blue bracelets and 12 green bracelets. What is the ratio of Kelly’s blue bracelets to green bracelets?

  1. math

    Jordan is making a beaded necklace, 2/3 of the beads she uses are red and 4/21 of the beads are blue, she wants the rest to be white, what fraction of the beads should be white?

  2. math

    Labrina received a $50 gift card to an online store. she wants to purchase some bracelets that costs $8 each. There will be a $10 overnight shipping fee. how many bracelets can she buy? A 4 bracelets B 5 bracelets******* C 6

  3. 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? Can anyone explain this

  4. Math (Combinatorics)

    In how many ways can I place 5 different beads on a bracelet if flipping or rotating the bracelet does not change the order of the beads?

You can view more similar questions or ask a new question.