Question

In how many ways 3 boys and 5 girls be arranged in a row so that all three boys are together?​

Answer 1

REQUIRED ANSWER

LET US TRY TO UNDERSTAND WHAT IT IS GIVEN:

3 boys and 5 girls and we have to arrange them in such a way that, all 3 boys are sitting together.

SOLVE

consider all 3 boys as one unit, and now remaining 5 girls total we have 6 object (5 girls+ one unit of 3 boys). Arranging 6 object in 6! ways, and now 3 boys can be arranged among themselves in 3! ways.

Hence total number of ways= 6!*3! = 720*6 = 4320.

All The Best!

Answer 2

let us understand what is given: 3 boys and 5 girls and we have to arrange them in such a way that, all 3 boys are sitting together.

To start with, consider all 3 boys as one unit, and now remaining 5 girls total we have 6 object (5 girls+ one unit of 3 boys). Arranging 6 object in 6! ways, and now 3 boys can be arranged among themselves in 3! ways.

Hence total number of ways= 6!*3! = 720*6 = 4320.