At a birthday party a mother prepares a plate of cookies for 8 children. There a

At a birthday party a mother prepares a plate of cookies for 8 children. There are plenty of chocolate chip peanut butter and oatmeal cookies but each child gets only one cookie.a. How many different plates can be prepared?b. How many different plates can be prepared if at least one of each kind of cookie is given out?c. How many different plates can be prepared if no one likes oatmeal cookies?d. How many different plates can be prepared if two children insist on getting peanut butter?e. How many different plates can be prepared if the dog got into the kitchen and there are only two chocolate chip cookies left?