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## How many ways can you arrange 10 different colored beads on 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 necklace of 12 beads each can be made from 18 beads of different Colours?

Correct Option: C

First, we can select 12 beads out of 18 beads in ^{18}C_{12} ways. Now, these 12 beads can make a necklace in **11! / 2 ways** as clockwise and anti-clockwise arrangements are same. So, required number of ways = [ ^{18}C_{12} . 11! ] / 2!

## How many necklaces can you make with 8 beads of colors?

**2520 Ways** 8 beads of different colours be strung as a necklace if can be wear from both side.

## What are the number of necklaces made from 7 beads of different color?

It would be 7! = **5040 diffrent necklaces**.

## How many ways can 12 beads be arranged on a bracelet?

12 different beads can be arranged among themselves in a circular order in (12-1)!= **11!** **Ways**.

## How many ways 5 different beads can be arranged to form a necklace?

So, we have to divide 24 by 2. Therefore the total number of different ways of arranging 5 beads is 242=**12** .

## 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 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 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**.