Question

In how many different ways can 4 boys and 3 girls are arranged in a row such that all the boys stand together and all the girls stand together

Answer 1

5 boys together will form Group-1 and 4 girls together will form Group-2. Now, these two groups can be arranged among themselves in (2!) = 2 ways.Now, Group-1 can be formed in (5!) = 120 ways and Group-2 can be formed in (4!) = 24 ways.Therefore, number of ways that 5 boys and 4 girls can be arranged in a row so that all boys stands together and all girls stand together = 2*120*24 = 5760.number is differnt process is same