There are 1106 different ways for him to choose the meal.
For given question,
In a restaurant there are 7 starter dishes, 14 main dishes and 9 desserts.
The possibilities of selecting a starter = 7
The possibilities of selecting a main dish = 14
The possibilities of selecting a dessert = 9
The meal combinations are: a starter dish and a main dish; a main dish and dessert; a starter dish, main dish and dessert dish.
The possibility of selecting each meal combinations would be,
1) a starter dish and a main dish = 7 × 14
= 98
2) a main dish and dessert = 14 × 9
= 126
3) a starter dish, main dish and dessert dish
= 7 × 9 × 14
= 882
We need to find the total number of different ways to choose the meal.
= 98 + 126 + 882
= 1106
Therefore, there are 1106 different ways for him to choose the meal.
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