In how many different ways can 4 boys and 3 girls be arranged in a row such that all the boys stand together and all the girls stand together
Answers
BG, GB
but boy and girl group will be further arranged
as 4 boys 4! , 3 girls 3!
so total ways..
2! * 3! *4!
Answer:
Total number of ways such that 4 boys and 3 girls can be arranged in a row such that all the boys stand together and all the girls stand together = 288
Step-by-step explanation:
Let us assume that 4 boys together form group 1 and 3 girls together can form group 2
Now, number of ways these two groups can be arranged = 2! = 2
Number of ways in which group 1 can be arranged = 4!
= 4 × 3 × 2 × 1
= 24
Number of ways in which group 2 can be arranged = 3!
= 3 × 2 × 1
= 6
Therefore, Total number of ways such that 4 boys and 3 girls can be arranged in a row such that all the boys stand together and all the girls stand together = 2 × 24 × 6
= 288