How many ways can 10 similar beads be arranged to form a necklace?

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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 necklaces can be made by using 10 round beads all of a different colors?

There are 10 beads of distinct colours; say, A, B, C, D, E, F, G, H, I and J. If no restriction is imposed then, there are (10!) = 3628800 ways to put these ten distinctly coloured beads into a necklace.

How many ways can 5 different beads 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 .

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How many ways can 7 beads can be arranged to form a necklace?

2520. 5040.

= 720/(120*2) = 3. So we can have 3 different necklaces.

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 ways can you make a bracelet with 5 different beads?

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

How many different change can be made using 5 different Coloured beads?

So there can be 12 different arrangements.

How many ways can we arrange 5 different colors in a circular arrangement?

Example 7.4.

We are looking for permutations for the letters HHHHTT. The answer is 6! 4! 2!