So the number of ways N people can be arranged in a straight line if 2 particular people must be separated

How many people are there in the group, if it is known that while standing in a straight line A and E are at the ends and there are 3 people in between them?

If m men and n women are to be seated in a row so that no two women sit together. If m>n, then the number of ways in which they can be seated is

People from a group are asked to form a circle for an activity. Then this group has to be split into two halves so that each group does a different activity as part of the original one. The task is to split it into two halves with exact same count or if there odd number of people, the first half can have more people than the other.Consider the arrangement to be in the form of a circular linked list and split it accordingly.

Select the correct answer7 persons A to G are sitting in a straight line but not necessary in the same order. Some of them are facing north while some of them are facing south.Only two people are sitting to the left of G.Only 2 people are sitting b/w G and B.A sits second left of B.The immediate neighbours of A faces opposite direction(i.e if one neighbour faces north and other faces south and vice_versa).Only one person b/w A and C.F is 3rd left of C.D is not immediate neighbour of B.both immediate neighbours of C faces the same directions(i.e if one neighbour faces north and other also faces north and vice_versa).A faces same direction as C.E faces north. B sits on the immediate left of E . How many members are facing North?Options54None32Finish

In how many ways can 5 girls and 3 boys be seated in a row so that no two boys are together?