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.

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:

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

f

step-by-step explanation:

f

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.