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 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.
What are the number of ways in which 12 beads can be arranged to form a necklace?
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 can 20 different beads be arranged to form a necklace?
Number of ways =2(20−1)! =219!
How many ways 7 beads can be arranged to form a necklace?
Permutation and Combination #39
|39. In how many ways can 7 beads can be arranged to form a necklace?|
|A. 360||B. 120|
|C. 720||D. 60|
What is a permutation formula?
Formula and Calculation of Permutation
The formula for a permutation is: P(n,r) = n! / (n-r)! where. n = total items in the set; r = items taken for the permutation; “!”
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 8 keys be arranged on a keyring?
Eight keys can be arranged 40320 ways on a key ring.
How many ways can 6 beads be arranged on a bracelet without clasp?
Multiplying these together, we get 6*5*4*3*2*1 = 720 ways.
How many ways can be 6 distinct objects be arranged?
There are 720 ways.
How many ways can a garland be prepared with 6 flowers?
Number of ways to arrange 6 different flowers are 120. Now we know a garland can be made in two ways, when we move in clockwise direction and when we move in anti-clockwise direction. Since garland is also circular, we use the formula for circular arrangement here.
How many ways can 5 red and 4 white balls be drawn from a bag containing 10 red and 8 white balls?
Complete step-by-step solution: A Bag contains 10 red balls and 8 white balls, so from the 10 red balls 5 red balls can be selected in 10C5 ways and similarly we can say that from 8 white balls 4 balls can be selected in 8C4 ways.
How many different ways can you answer 10 true/false questions?
So number of ways to answer all the 10 question will be =3×3×3×3×3×3×3×3×3×3= 3^(10)=59049.