5 students `(A,B,C,D,E)` are to be arranged in a row so, that A occupies the 2nd position and B is always adjacent to 'C', the number of such of such arrangements is

5 students (A,B,C,D,E) are to be arranged in a row so,that A occupies the 2 nd position and B is always adjacent to 'C', the number of such of such arrangements is

The Principal wants to arrange 5 students on the platform such that the boy SALIM occupies the second position and such that the girl. SITA is always adjacent to the girl RITA.How many such arrangements are possible?

Among the 8! [permutations of the digits 1, 2, 3..., 8, consider those arrangements which have the following property. If we take any five consecutive positions the product of the digits in these positions is divisible by 5. The number of such arrangements is equal to a. 7! b. 2.(7!) c. ^7C_4 d. none of these

6 persons A,B,C,D,E,F are arranged in row. Find the conditional probability that C&D are separated given that A o* B are together.6

Five persons A, B, C, D and E are sitting in a row facing you such that D is on the left of C and B is on the right of E. A is on the right of C and B is on the left of D. If E occupies a corner position, then who is sitting in the centre ?