A restaurant serves custom-made omelets, where guests select meat, cheese, and vegetables to be added to their omelet. There are 6 vegetables available, and guests may select any 2 vegetables for their omelet. How many different combinations of 2 vegetables are possible?

Using the combination formula, it is found that 15 different combinations of 2 vegetables are possible.

The order in which the vegetables are chosen is not important, hence, the combination formula is used to solve this question.

Combination formula:

is the number of different combinations of x objects from a set of n elements, given by:

In this problem, 2 vegetables are chosen from a set of 6, hence:

15 different combinations of 2 vegetables are possible.

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The number of different combinations of 2 vegetables are possible = 15 .

Step-by-step explanation:

In Mathematics , the number of combinations of selecting r values out of n values =

Given : Number of available vegetables = 6

Then, the number of different combinations of 2 vegetables are possible will be :

Hence , the number of different combinations of 2 vegetables are possible = 15 .

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step-by-step explanation: