**Contents**show

## 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 ways can 6 beads be arranged in a string?

6P6 = **720** or 6!

## How many necklaces are in 7 beads?

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

## How many necklaces can be formed with 8 colored beads?

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

## How many ways can 10 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 ways can you make a bracelet with 5 different beads?

Thus for n=5, there are possible **4**!/2=12 different bracelets.

## How many ways can 5 keys be placed on a key ring?

Problem Answer:

There are **24 ways** to arrange 5 keys in a keychain.

## 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**.

## 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!