Question

a). How many ways can a person select three appetizers and two soups if there are six appetizers and five soups on the dinner menu?

b). Three married couples have bought tickets for six seats in a row for a movie.
- HOw many ways can they be seated?
- How many ways can they be seated if each couple is to sit together with the husband to the left of the wife.
- HOw many ways can they be seated in each couple is to sit together.
- How many ways can they be seated if all the men are to sit together and all the women are to sit together.