Telangana Board Solutions for Exercise 3: Exercise 5(c)

Find the number of ways of arranging $6$ boys and $6$ girls around a circular table so that all the girls sit together.

Find the number of ways of arranging $6$ boys and $6$ girls around a circular table so that no two girls sit together.

Find the number of ways of arranging $6$ boys and $6$ girls around a circular table so that boys and girls sit alternately.

Find the number of ways of arranging $6$ red roses and $3$ yellow roses of different sizes into a garland such that yellow roses are together.

Find the number of ways of arranging $6$ red roses and $3$ yellow roses of different sizes into a garland. In how many of them no two yellow roses are together.(Answer number of ways of arranging $6$ red, $3$ yellows roses into garland, number of ways of arranging no two yellow roses as together separated with comma)

A round table conference is attended by $3$ Indians, $3$ Chinese, $3$ Canadians and $2$ Americans. Find the number of ways of arranging them at the round table so that the delegates belonging to same country sit together.

A chain of beads is to be prepared using $6$ different red coloured beads and $3$ different blue coloured beads. In how many ways can this be done so that no two blue coloured beads come together.

A family consists of father, mother, $2$ daughters and $2$ sons. In how many different ways can they sit at a round table if the $2$ daughters wish to sit on either side of the father?