7 The menu below shows all the dishes available at a certain restaurant.
| Rice dishes | Main dishes | Vegetable dishes |
| Boiled rice | Chicken | Mushrooms |
| Fried rice | Beef | Cauliflower |
| Pilau rice | Lamb | Spinach |
| Keema rice | Mixed grill | Lentils |
| Prawn | Potatoes |
| Vegetarian | |
A group of friends decide that they will share a total of 2 different rice dishes, 3 different main dishes and 4 different vegetable dishes from this menu. Given these restrictions,
- find the number of possible combinations of dishes that they can choose to share,
- assuming that all choices are equally likely, find the probability that they choose boiled rice.
The friends decide to add a further restriction as follows. If they choose boiled rice, they will not choose potatoes.
- Find the number of possible combinations of dishes that they can now choose.