Question

Out of 7 crew members, 3 particular members can sit only on the left side. Another 2 particular members can sit only on the right side. Find the number of ways in which the crew can be arranged if a maximum of four men can sit on each side.

• A. 2*3!*4!
• B. 3*3!*4!
• C. 5*3!*4!
• D. 6*3!*4!
• E. None of these

Answer 1

The correct option is B

3*3!*4!

3 members on one side and 2 members on another side are fixed. The remaining 2 members can be selected in 3 ways.

The arrangement among the two groups can be done in 3!*4! ways.

Thus, the number of ways in which the crew can be arranged so that a maximum of four men can sit on each side = 3*3!*4! ways