The menu for a meal in a restaurant is as follows.
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Starter Course
Melon
or
Soup
or
Smoked Salmon
\end{displayquote}
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Main Course
Chicken
or
Steak
or
Lamb Cutlets
or
Vegetable Curry
or
Fish
\end{displayquote}
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Dessert Course
Cheesecake
or
Ice Cream
or
Apple Pie
All the main courses are served with salad and either
new potatoes or french fries.
How many different three-course meals are there?
How many different choices are there if customers may choose only two of the three courses?
In how many ways can a group of 14 people eating at the restaurant be divided between three tables seating 5, 5 and 4?
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