**Contents**show

## How many ways of making a necklace is possible with 7 beads of different Colour?

= **5040 diffrent necklaces**.

## How many different bangles can be formed from 10 different colored beads?

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**.

## What is the number of necklaces that can be made from 20 beads each of different Colour?

Thus the answer is **10**!/20 = 181440.

## 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 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 ways can 12 beads be arranged on a bracket?

12 different beads can be arranged among themselves in a circular order in **(12-1)!=** **11!** **Ways**. Now, in the case of necklace, there is not distinction between clockwise and anti-clockwise arrangements.

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

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

## How many different bangles are there?

There are **two basic types of bangles**: a solid cylinder type; and a split, cylindrical spring opening/closing type. The primary distinguishing factor between these is the material used to make the bangles.

## How many necklaces of 12 beads each can be made from 18 beads of various 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 different chains can be made using 5 different colored beads?

One is clockwise, another is anticlockwise. Here in both directions we will get the same arrangement. So, we have to divide 24 by 2. Therefore the total number of different ways of arranging 5 beads is 242=**12** .