Answer:
Basic Concept:
Since there are no boys between 2 girls, we will take the 3 girls as 1 single unit and permute the seats
We have 6 slots (5 for boys and 1 for all 3 girls)
We have 6 slots and 6 people to sit on them (taking the 3 girls as one)
Permutations:
So, the total number of seating arrangements is 6P6
which will be equal to 6 factorial (6P6 = [tex]\frac{n!}{n! - r!}[/tex] = [tex]\frac{6!}{6! - 6!}[/tex] = 6! (since 0! = 1))
Total possible seating arrangements = 6!
Total possible seating arrangements = 720
