Five persons A, B, C, D & E are seated in a circular arrangement. If each of the is given a hat of one of the three colours red, blue & green, then the numbers of ways of distributing the hats such that the person seated in adjacent seat gets different coloured hats is

Four persons A, B, C and D are to the seated at a circular table. In how many ways can they be seated ?

Four persons A, B, C and D are to be seated at a circular table. In how many ways can they be seated ?

10 persons are seated at round table then the number of ways of selecting 3 persons out of them if no two persons are adjacent to each other is

14 persons are seated at a round table. Find the number of ways of selecting two persons out of them who are not seated adjacent to each other.

Eight persons A, B, C, D, E, F, G and H are seated around a circular table facing the centre. C and E are not adjacent to each other. B is on the immediate left of E. H is on the immediate right of D. There are three persons between B and H. A is adjacent to F. F is on the immediate left of C. If each person interchanges his or her position with the person seated opposite, who will be on the right of D? 1) E 2) F 3) G 4) D 5) None of these

Eight persons A, B, C, D, E, F, G and H are seated around a circular table facing the centre. C and E are not adjacent to each other. B is on the immediate left of E. H is on the immediate right of D. There are three persons between B and H. A is adjacent to F. F is on the immediate left of C. Which of the following is an incorrect pair of persons seated opposite each other? 1) EA 2) DC 3) BA 4) Can’t be determined 5) None of these

The number of ways in which five different prizes can distributed to persons such tha each person can gets at least one prize is

Eight persons A, B, C, D, E, F, G and H are seated around a circular table facing the centre. C and E are not adjacent to each other. B is on the left of E. H is on the right of D. There are three persons between B and H. A is adjacent to F. F is on the left of C. Which of the following statements is true? 1) C is second to the right of E. 2) A is on the immediate right of F. 3) E is on the immediate left of D. 4) B is on the immediate right of C. 5) None of these