The total number of sitting arrangements of 7 persons in a row if 3 persons sit together in a particular order is

The total number of sitting arrangements of 7 persons in a row if 3 persons sit together in any order is

The total number of sitting arrangements of 7 persons in a row if two persons occupy the end seats is

The total number of sitting arrangements of 7 persons in a row if one person occupies the middle seat is

Seven persons sit in a row at random. The probability that three persons A, B,C sit together in a particular order is

Twelve persons are sitting in two parallel rows containing six persons each, in such a way that there is an equal distance between adjacent persons. In Row-I, A, B, C, D, E and F are seated (but not necessarily in the same order) and all of them are facing south. In Row-2, P, Q, R, S, T and U are seated (but not necessarily in the same order) and all of them are facing north. Therefore, in the given sitting arrangement each person seated in a row faces another person of the other row. S sits immediate the right of U. S does not sit at any extreme end. Two persons sit between P and Q. T sits third to the left of U. R is not an immediate neighbour of U.F sits third to the right of D. C does not sit at any extreme end. One person sits between B and D. D sits second to the left of C. Is not an immediate neighbour of B and A. If all the six persons of Row-1 (A,B,C,D,E and F) are asked to sit in an alphabetical order from left to right , the positions of how many will remain unchanged as compared to their original sitting position ?

n persons sit on a round tabler against two specified persons sitting together is

Find the number of ways to arrange 5 boys and 5 girl in a row such that all the boys sit together and all girls sit together