**Contents**show

Usually, the answer to a question about the number of ways to arrange 6 items would be answered 6*5*4*3*2*1 = 6! = 720.

## How many ways can six beads be arranged on a bracelet without clasp?

When the necklace is unclasped and laid out with its ends separated, there are 6! = 720 distinct ways (permutations) to arrange the 6 different beads.

## How many ways can 5 beads be arranged in a circular bracelet?

Now, we can arrange n elements in a circular permutation in (n−1)! ways. So we can arrange 5 beads in a circular ring in (5−1)=4! =1×2×3×4=24 ways.

## How many bracelets can be formed from 7 different colored beads?

It would be 7! = 5040 diffrent necklaces. Is that correct?

## How many ways can 6 beads?

= 720 distinct ways (permutations) to arrange the 6 different beads.

## How many necklaces can you make with 6 beads of 3 colors?

The first step is easy: the number of ways to colour 6 beads, where each bead can be red, green or blue, is 3^{6} = 729. Next we put the beads on a necklace, and account for duplicate patterns.

## How many different ways can they be arranged if the bracelet has no clasp?

For each of those, there are 4 remaining choices for the 2nd, then 3 for the 3rd, 2 for the 4th and 1 for the 5th. So there are 5×4×3×2×1 or 5!, pronounced “five factorial” permutations. But without the clasp, the choice of starting location is arbitrary, so you can divide the total by 5 to get 4!= 24.

## How many necklaces can be formed with 6 white and 5 red beads if each necklace is unique how many can be formed?

5! but correct answer is 21.

## How many ways 8 different beads can be arranged to form a necklace?

The number of ways in which 8 different beads be strung on a necklace is. 2500. 2520.

## How many ways can 7 beads can be arranged to form a necklace?

2520. 5040.

## How many ways can 3 different beads be arranged to form a necklace?

Answer: This is called a cyclic permutation. The formula for this is simply (n-1)!/2, since all the beads are identical. Hence, the answer is 9!/2 = 362880/2 = 181440.

## How many bracelets can be made by stringing 9 different colored beads together?

by stringing together 9 different coloured beads one can make 9! (9 factorial ) bracelet. 9! = 9×8×7×6×5×4×3×2×1 = 362880 ways.

## How many different bangles can be formed from 8 different colored beads?

How many different bangles can be formed from 8 different colored beads? Answer: 5,040 bangles .

## How many ways can eight differently colored beads be threaded on a string?

Eight different beads can be arranged in a circular form in (8-1)!= 7! Ways. Since there is no distinction between the clockwise and anticlockwise arrangement, the required number of arrangements is 7!/2=2520.