Question

Debbie goes to a diner famous for its express lunch menu. The menu has five appetizers three soups seven entrees six vegetables and four dessert. How many different meals consisting of either an appetizer or a soup one entree one vegtable and one desert can Debbie order

Answer 1

If an appetizer is selected, the number of different meals is given by:
$5\times7\times6\times4=840$
If soup is selected, the number of different meals is given by:  
$3\times7\times6\times4=504$
The total number of different meals is therefore:
840 + 504 = 1344
The answer is: 1344 different meals.