(a) In how many ways can one component of each type be selected? ways (b) In how many ways can components be selected if both the receiver and the compact disc player are to be Sony? ways (c) In how many ways can components be selected if none is to be Sony?

A, B, C, D and E go on a holiday by car. (a) In how many different ways can they choose the seats in the car, if there are any five seats? Order matters. (b) Suppose a car has three back seats. In how many different ways do they can the people sitting in the back seats choose? The order doesn't matter. (c) A has promised to act as a car driver. In how many different ways can the rest of the people choose the seats in the car, if the car has seven seats (in addition to the driver's seat)?

I don't understand this. Please Helppppp!!!!

Twelve officers of an organization are to be divided into committees. In how many ways can the officers be divided into three committees composed of six, four, and two members, respectively? O 12 C6 +12 C4 +12 C2 O 12 C6 *12 C4 *12 C2 O (12)(4)(2) 12 6 4 2,

6. A lead role and a supporting role are to be chosen from a drama club consisting of 40 talents. How many various choices of actors are possible if: there are no restrictions? ( (1) (ii) actor Kristoff will participate only if he is the lead role? ( (ii) actors Jess and Jet will act together or not at all? (iv) actors Keanne and Gian will not act together?

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4. Having lunch at a local Panda Express, Isaiah is first asked to choose among five proteins, namely chicken, beef, fish, pork, or shrimp. He then has to choose between two beverage options, sweetened or unsweetened tea (“no drinks” is not an option). Finally, Isaiah can choose up to three sides (again, “no sides” is not an option). How many combos can Isaiah choose from?