Probability help

Question

A dinner order at Mom’s Country Kitchen consists of a salad with dressing, an entrée, and three side dishes. The menu offers a salad with your choice of ranch, bleu cheese, French, or Italian dressing; a choice of entrée from chicken-fried steak, meat loaf, fried chicken, catfish, roast beef, or pork chops; and, as side dishes, mashed potatoes, French fries, fried okra, black-eyed peas, green beans, corn, rice, pinto beans, or squash.

The number of possible dinner orders available at Mom’s Country Kitchen is _______.


(Give your answer as a whole number.)

Answer 1

OK, to state this with numbers, there are 4 kinds of dressing, 6 entrees, and 9 sides, of which you can choose 3.

 

So you multiply 4 times 6 times the number of combinations of 9 items, choosing 3.

 

That's 4 x 6 x 9! / (3!6!) = 2016