Question: The New Year's Eve dinner must include all six types of dishes. In a family that does not eat fish or pork (dumplings are assumed to be pork-filled), how many different combinations are there for the dinner (eg:220)?
Clues:
1. The list of 凉菜 (Cold dishes) shows four options: 凉拌海带丝, 夫妻肺片, 凉拌木耳, 拍黄瓜. None contain fish or pork, giving 4 choices.
2. The list of 热炒 (Hot dishes) shows four options: 青椒肉丝, 蒜蓉西兰花, 鱼香茄子, 宫保虾仁. After excluding 青椒肉丝 (pork) and 鱼香茄子 (commonly contains pork), there are 3 choices left.
3. The list of 主菜 (Main courses) shows four options: 红烧肉, 清蒸鱼, 四喜丸子, 蒜蓉粉丝蒸扇贝. After excluding 红烧肉 (pork), 清蒸鱼 (fish), and 四喜丸子 (pork), there is 1 choice left.
4. The list of 汤品 (Soups) shows four options: 西红柿鸡蛋汤, 冬瓜排骨汤, 菌菇鸡汤, 紫菜蛋花汤. After excluding 冬瓜排骨汤 (pork), there are 3 choices left.
5. The list of 主食 (Staple foods) shows four options: 饺子, 春卷, 年糕, 八宝饭. After excluding 饺子 (assumed pork), there are 3 choices left.
6. The list of 甜品 (Desserts) shows four options: 红豆汤圆, 芒果布丁, 椰汁西米露, 蓝莓山药泥. None contain fish or pork, giving 4 choices.
Answer: 432
Category: Information Literacy