Answer:
The number of omelets that can be prepared using the 9 ingredients is 512.
Step-by-step explanation:
The number of different ingredients the students are allowed to used to make the omelet is, n = 9.
The students can include any combinations of the ingredients. Also they can either include all or none of the ingredients.
The number of subsets that can be formed from n elements is: 2ⁿ subsets.
The 2ⁿ subsets includes the empty set also.
Then the number of omelets that can be prepared is: [tex]2^9=512[/tex]
Thus, the number of omelets that can be prepared using the 9 ingredients is 512.
