The number of ways in which 5 male and 2 female members of a committee can be seated around a round table so that the two female are not seated together is:

Fix up a male and the remaining 4 male can be seated in 4! ways. Now no two female are to sit together and as such the 2 female are to be arranged in five empty seats between two consecutive male and number of arrangement will be ${ }^5{P}_2$ Hence by fundamental theorem the total number of ways is  $=4!{\times }^5{P}_2=24\times 20=480$ ways