Question

A restaurant provides a brunch where the omelets are individually prepared. Each guest is allowed to choose from 9 different ingredients. A student has been asked to form the following sets. Determine the number of elements the student should have in each set.

Answer 1

The number of omelets that can be prepared using the 9 ingredients is 512.

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:
`2^9=512`

Thus, the number of omelets that can be prepared using the 9 ingredients is 512.