In how many ways 4 boys and 4 girls be seated in round table alternatively?

There are 144 ways to seat 4 boys and 4 girls in a round table alternatively.

Here's how we can calculate it:

1. Treat one chair as fixed: Since it's a round table, the order of seating actually matters less than it would in a linear arrangement. So, let's fix one chair and consider the remaining chairs as a "circular line."

2. Arrange the boys: There are 3 empty chairs available for the 4 boys to sit in, which can be done in (4 - 1)! = 3! ways (we don't need to consider rotations at this point because fixing one chair breaks their relative order).

3. Arrange the girls: Now, there are 4 empty chairs (the ones between the boys) for the girls to sit in. Each chair has a specific boy next to it, so they can't be placed in just any order. Therefore, there are 4! ways to arrange the girls.

4. Total arrangements: Finally, to get the total number of arrangements for the whole table, we multiply the number of ways for the boys (3!) with the number of ways for the girls (4!). This gives us 3! * 4! = 6 * 24 = 144 possible seating arrangements.

Therefore, there are 144 ways to seat 4 boys and 4 girls in a round table alternatively.