Q7) A Thai restaurant offers 5 fish dishes, 3 meat dishes, 3 vegetables dishes and 2 rice dishes for dinner service. a) How many different dinner meals of 5 dishes are possible if any dish can be chosen only once? b) How many different dinner meals are possible if each meal can consist of 1 fish dish, 1 meat dish, 1 vegetable dish and 1 rice dish. c) How many different dinner meals are possible if each meal can consist of 2 fish dishes, 2 meat dishes and 1 vegetable dish but each dish can be chosen only once? d) How many different dinner meals of four dishes are possible if the meal must consist only 1 fish dish, 1 meat dish, 1 vegetable dish and 1 rice dish or the meals can consist only 1 fish dish, 1 meat dish, and 2 different vegetable dishes? Q8) A bowl contains 10 red marble and 10 blue marbles. A girl selects marbles at random without replacement. a) How many marbles must she select to be sure of getting 3 marbles of the same colour? b) What is the least number of marbles must she select to be sure of getting at least 3 blue marbles?