Find the number of arrangement if 11 members of a committee at a round table so that the president and secretary always sit together.

The nember of ways in which 5 male and 2 female members of a committee can be seated around a round table so that the two females are not seated together is ....... .

Find the number of seating arrangements for 3 men and 3 women to sit around a table so that exactly two women are together.

Find the number of arrangements of letters in the word MUMBAI so that the letter B is always next to A

Find the number of ways for 15 people to sit around the table so that no two arrangements have the same neighbor.