5 boys and 3 gIrls are to be arranged In a row such that all the boys are together.
5 boys are to be arranged together. therefore considering them as one person total 4 persons can be arranged In 4P4 ways.
Now. In each of these arrangments 5 boys can be arranged among themselves in 5P5 ways.
∴ Total permutation = 4P4 × 5P5
= 4! × 5!
= 24 × 120
= 2880
Hence, 5 boys and 3 gIrls can be arranged In a row such that 5 boys are together in 2880 ways.
