A meeting is to be addressed by 5 speakers A, B, C, D, E. In how many ways can the speakers be ordered, if B must not precede A (immediately or otherwise)?

There are 5 speakers A,B,C,D and E. The number of ways in which A will speak always before B 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?

There are 6 students A,B,C,D,E,F. In how many ways can a committee of 4 be formed so as to always include C?

There are 6 students A,B,C,D,E,F. In how many ways can a committee of 4 be formed so as to always include C?

There are 6 students A,B,C,D,E,F. In hoiw many ways can a committee of 4 be formed so as to always include C but exclude E?

There are 6 students A,B,C,D,E,F. In hoiw many ways can a committee of 4 be formed so as to always include C but exclude E?

Five speakers A,B,C,D and E will speark at a meeting. In how many ways can they take their turrns if (i) A speask immediately before B, and (ii) B does not speak befor A?

Four persons A, B, C and D are to be seated at a circular table. In how many ways can they be seated ?

In how many ways can the 7 letters A, B, C, D, E, F, and G be arranged so that C and E are never together?