How many ways can 4 boys and 4 girls sit around a table if no two boys should sit together 1 point?

of ways in which 4 boys and 4 girls can be made to sit around a circular table such that no two boys sit adjacent to each other are 144 ways.

How many different ways can 4 boys and 4 girls be seated in a straight line such that no 2 boys are together?

If boys are seated in B1,B2,B3,B4 positions than at each gap between two consecutive boys a girl can sit so, there will be C(5,4) ways for girls and they can be arranged in C(5,4) *4! and boys too can be arranged in 4! so total number of ways are C(5,4) *4! *4!

How many arrangements can be made from 4 boys and 4 girls if they have to sit in a round table and no of the same gender must sit beside each other?

=144 ways of sitting the girls in which the boys and girls alternate seats.

How many ways can we arrange 4 boys around a?

There are 4! ways to assign the 4 boys to the 4 positions, but allowing for rotations, this counts each “essentially different” arrangement 4 times. So the total number of arrangements is 4! / 4 = 3! = 6.

How many boys and girls can sit around a circular table?

In how many ways 10 boys and 5 girls can sit around a circular table, so that no two girls sit together. 10 boys can be seated in a circle in 9! ways. There are 10 spaces between the boys, which can be occupied by 5 girls in 10p5 ways.

How many ways in which boys can be arranged on table?

First find the total number of ways in which boys can be arrange on round table. No. of ways to arrange boys on table = (n-1)! After making boys arrangement, now make arrangement for girls. As after seating boys there are n space available between them. So there are n position and n number of girls.

How many ways 5 African and five Indian can be seated?

First boys are seated in 5 position in 5! Ways, now remaining 4 places can be filled by 4 girls in 4! Ways, so number of ways = 5! 4! = 2880 In how many ways 5 African and five Indian can be seated along a circular table, so that they occupy alternate position.

How many vacant places are there between all 4 boys?

Once the 4 boys are placed, we have to place 4 girls around the same table. Now, we can see 4 vacant places are there between all 4 boys so we can do in 4! ways. Total number of sitting arrangement = 3! x 4! Question 3: Out of the 11 points in a plane, 4 are collinear. How many straight line can be formed?