**Contents**show

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

6P6 = **720** or 6!

## How many ways can 7 beads be strung on a necklace without a clasp?

= **5040 diffrent necklaces**.

## How many ways can we arrange 10 letter beads to form a bracelet?

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 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 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**.

## How many ways can 5 people arrange themselves in a line?

Answer: If the symmetry of the table is not taken into account the number of possibilities is 5! = **120**. In this case it would be the same as ordering people on a line. However if rotation symmetry is taken into account, there are five ways for people to sit at the table which are just rotations of each other.

## 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 ways can letters be arranged?

Now, the formula of expanding factorial is n! =n×(n−1)×(n−2)×…… ×3×2×1. Therefore, we can arrange the letters in the word ‘FACTOR’ in **720 ways**.

## How many ways can you arrange things in a circle?

Coming back to the question – In how many ways can 5 distinct objects be arranged in a circle? Now there are 5! or **120 different linear arrangements possible**.