question_answer

Six teachers and sic students have to sit round a circular table such that there is a teacher between any two students. The number of ways I which they can sit is

A) \[6!\times 6!\]

B) \[5!\times 6!\]

C) \[5!\,\times 5!\]

D) None of these

Correct Answer: B

Solution :

[b] Six students \[{{S}_{1}},{{S}_{2}},...,{{S}_{6}}\] can be arranged round a circular table in 5! ways, among these 6 students there are six vacant places, shown by dots (.) in which six teachers can sit in 6! Ways. Hence, number of arrangement \[=5!\times 6!\]