(a) Eleven different television sets are to be displayed in a line. Of these, 6 are made by company \(A\) and 5 are made by company \(B\).

(i) Find the number of different ways the televisions can be arranged.

(ii) Find the number of different ways the televisions can be arranged so that no two sets made by company \(A\) are next to each other.

(b) A group of people is to be selected from 5 women and 3 men.

(i) Calculate the number of different groups of 4 people that have exactly 3 women.

(ii) Calculate the number of different groups of at most 4 people where the number of women is the same as the number of men.