The number of ways in which $5$ boys and $4$ girls can sit around a circular table such that no two girls sit together is:

If $3$ sisters and $8$ other girls are together playing a game,then the number of ways in which all the girls are seated around a circle such that the three sisters are not seated together,is

If $5$ red roses and $5$ white roses of different sizes are used in preparing a garland,the probability that red and white roses come alternately is

The number of ways in which $6$ men and $5$ women can dine at a round table if no two women are to sit together is given by

If $n$ persons are seated around a circular table,what is the ratio of the unfavorable probability to the favorable probability that two specific persons sit together?

If a party of $n$ persons sit at a round table,then the odds against two specified individuals sitting next to each other are