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## What is the number of necklaces that can be made from 6n identical blue beads and 3 identical red beads?

**4** Answers. HINT: The blue beads can be adjacent, separated by 1 and 5 red beads, separated by 2 and 4 red beads, or diagonally opposite each other with 3 red beads between them in both directions. That’s just 4 distinct necklaces.

## How many necklaces are in 7 beads?

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

## How many necklaces of 10 beads each can be made from 20 beads of different colours?

This is easy: count all permutations of 10 beads, 10!, then divide by 20 because we counted each permutation 10 times due to rotation, and counted each of these twice because you can flip the necklace over. Thus the answer is 10!/20 = **181440**.

## 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 ways can 8 different colored beads be treated on a string?

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

## 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 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 different ways can the 8 persons be seated in a circular table?

ways, where n refers to the number of elements to be arranged. = **5040 ways**.