Permutations And Combinations Question 361

Question: 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

Options:

A) $ 6!\times 6! $

B) $ 5!\times 6! $

C) $ 5!\times 5! $

D) None of these

Show Answer

Answer:

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! $