In: Statistics and Probability
In how many ways can 3 men and 3 women be seated at a round table if a. no restriction is imposed, b. 2 particular women must not sit together, c. each woman is to be between 2 men?
In part (b) , the condition is fulfilled in two ways, first, starting with a woman and second, starting with a man which is showed in corresponding arrangement.
Under the condition (c), the arrangement is same as the arrangement in part (b), so the required number of ways are same for both part.