The total number of sitting arrangements of 7 persons in a row if one person occupies the middle seat 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 3 persons sit together in any order is

The total number of sitting arrangements of 7 persons in a row if 3 persons 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 ?

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. Four of the following five are alike in a certain way based on their sitting arrangement and hence form a group. Which one does not belong to the group ?

Find number of seating arrangements of 6 persons at three identical round tables if every table must be the occupied

There are 10 seats in the first row of a theatre of which 4 are to be occupied. The number of ways of arranging 4 persons so that no two persons sit side by side is:

There are 10 seats in the first row of a theatre of which 4 are to be occupied. The number of ways of arranging 4 persons so that no two persons sit side by side is:

There are m seats in the first row of a theatre, of which n are to be occupied.The number of ways of arranging n persons if no two persons sit side by side is