Amenu lists five vegetable; applesauce, beans, carrots, peas, and potatoes. you decide to order a "vegetable plate" of three (different) vegetables. (one possible choice, for example, is to order beans, carrots and potatoes.) how many choices are available to you

A menu lists five vegetable; applesauce, beans, carrots, peas, and potatoes. A person wants to order a vegetable plate with a combination of any 3 different vegetables from the menu. The total number of choices that the person has can be found using combinatorics, a branch of mathematics dealing with combinations and permutations.

Given: n (items in menu) = 5, r (combination of 3 vegetables) = 3

Substituting the value for n and r in the expression for calculating the available choices, ,

We get,

Therefore, the answer is 10 choices or unique combinations.

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ex. when its cold outside i wear a jacket

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