Answer:
The number of possible dinner specials are 4368.
Step-by-step explanation:
The number of dinner specials = 5
They include appetizer, a salad, an entree, a side dish, and a dessert.
Possible items to choose from = 16.
They are 1. Appetizer Chicken strips, 2. Shrimp cocktail, 3. Buffalo wings, 4. Potato skins, 5. Salad Garden, 6. Caesar Entree T-bone steak, 7. Pot roast, 8. Lamb Side dish Corn, 9. Rice, 10. French fries, 11. Baked potato, 12. Pinto beans, 13. Dessert Chocolate cake, 14. Brownies, 15. Ice cream, 16. Apple pie
This is a combination problem requiring a combination solution with the following formula and steps:
C (n, r) =? C (n, r) = ?
n choose r
n (objects) = 16
r (sample) = 5
C (n, r) =? C (n, r) = ?
C (n, r) =C (14,5) C (n, r) =C (16,5)
=16! (5! (16−5)!) =16! (5! (16−5)!)
= 4368
