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

number of meals = 8x7x6x4 = .....

is it 1344

To find the number of different meals Debbie can order, we need to multiply the number of choices for each category (appetizer/soup, entree, vegetable, dessert).

First, let's find the number of choices for each category:

1. For the appetizer/soup category, Debbie can either choose an appetizer or a soup. There are 5 appetizers and 3 soups, so there are 5 + 3 = 8 choices.

2. For the entree category, Debbie has 7 choices.

3. For the vegetable category, Debbie has 6 choices.

4. For the dessert category, Debbie has 4 choices.

Now, let's multiply the number of choices for each category to find the total number of different meals:

8 (choices for appetizer/soup) x 7 (choices for entree) x 6 (choices for vegetable) x 4 (choices for dessert) = 1,344

Therefore, Debbie can order 1,344 different meals consisting of either an appetizer or soup, one entree, one vegetable, and one dessert at the diner.