Find the number of ways in which `5A^(prime)s and 6B ' s` can be arranged in a row which reads the same backwards and forwards.

Find the numbers of ways in which 5 girls and 5 boys can be arranged in a row if no two boys are together.

Find the number of ways in which 5 girls and 5 boys can be arranged in a row if boys and girls are alternative.

Find the number of ways in which 5 girls and 5 boys can be arranged a n row if boys and girls are alternative.

Find the number of ways in which 10 different diamonds can be arranged to make a necklace.

Find the number of ways in which 12 different beads can be arranged to form a necklace.

Find the number of ways by which 4 green, 3 red and 2 white balls can be arranged in a row such that no two balls of the same colour are together. All balls of the same colour are identical.

Find the number of ways in which 5 boys and 3 girls can be seated in a row so that no two girls are together.

Find the number of ways in which 5 girls and 5 boys can be arranged in row (i) if no two boys are together. (ii) if boys and girls are alternate. (iii) all the girls sit together and all the boys sit together. (iv) all the girls are never together.

Let m denotes the number of ways in which 5 boys and 5 girls can be arranged in a line alternately and n denotes the number of ways in which 5 boys and 5 girls an be arranged in a circle so that no two boys are together . If m= kn then the value of k is :

Find the number of ways in which 6 boys and 6 girls can be seated in a row so that all the girls sit together and all the boys sit together.