A class has tree teachers, Mr. `X`, Ms.`Y` and Mrs.`Z` and six students `A`, B`, `C`, `D`, `E`, `F`. Number of ways in which they can be seated in a line of `9` chairs,if between any two teachers there are exactly two students is

A class has three teachers, Mr. P , Ms. Q, and Mrs. R and six students A,B,C,D,E,F. Number of ways in which they can be seated in a line of 9 chairs, if between any two teachers there are exactly two students, is k !(18), then value ofk is ________.

A class has three teachers, Mr. P , Ms. Q, and Mrs. R and six students A,B,C,D,E,F. Number of ways in which they can be seated in a line of 9 chairs, if between any two teachers there are exactly two students, is k !(18), then value of k is ________.

A class has three teachers, Mr. P , Ms. Q, and Mrs. R and six students A,B,C,D,E,F. Number of ways in which they can be seated in a line of 9 chairs, if between any two teachers there are exactly two students, is k !(18), then value of k is ________.

Number of ways in which 4 students can sit in 7 chair in a row, if there is no empty chair between any two students is :

Number of ways in which 4 students can sit in 7 chair in a row, if there is no empty chair between any two students is :

There are 6 students A,B,C,D,E,F. In how many ways can they be seated in a line so that C and D do not sit together?

There are 6 students A,B,C,D,E,F. In how many ways can they be seated in a line so that C and D do not sit together?

In how many ways can six students be seated in a line so that two particular students do not sit together?

Find the number of ways in which six persons can be seated at a round table, so that all shall not have the same neighbours n any two arrangements.