SOLUTION: Solve any way, but show work! You want to have 3 servings daily of dairy products without having the same food more than once. Milk, yougurt, cottage cheese, and chedar cheese

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Question 34936: Solve any way, but show work!
You want to have 3 servings daily of dairy products without having the same food more than once. Milk, yougurt, cottage cheese, and chedar cheese are in the refrigerator. How many different combinations can you have?
Thank you so very much and have a great day!
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The combination of four things (Milk, Yogurt, Cottage Cheese, Cheddar Cheese) taken three at a time is expressed by:nCr+=+n%21%2F%28r%21%28n-r%29%21%29 where: n = 4 and r = 3
4C3+=+4%21%2F%283%21%284-3%29%21%29
4C3+=+4%21%2F3%21%281%29%21
4C3+=+4
You can have four different combinations of three dairy products:
1) Milk, Yogurt, Cottage cheese.
2) Milk, Yogurt, Cheddar cheese.
3) Milk, Cottage cheese, Cheddar cheese.
4) Yogurt, Cottage cheese, Cheddar cheese.