If a class of 10 students has three men, how many ways can the men and women be arranged in a circle so that no two men sit next to each other?
Choose the correct choice from the following answers.
A) 3!2!  B) 5!5!  C) 4!4!  D) 10!  E) 10!/5!
for no two men to sit together, either all are in even or odd position   fix one at any one position then rest four can be fixed in 2! ways...   also rest five position of women can be fixed in 3!..   total ways 3!2!   3!2!
<result>A</result>
If a class of 10 students has three men, how many ways can the men and women be arranged in a circle so that no two men sit next to each other?