How many elements are in the following sample space?

A coin is tossed three times and the number of T's (tails) is recorded.

Describe the sample space for the following experiment:

Two people are asked if they smoke regularly, and the number of people answering affirmatively is recorded. Give your answer using set notation, i.e. list all elements of the sample space in braces {} and separate them with a comma.Do not include spaces.

Consider thesample space of the following experiment:

We roll two dice and each time we record the sum of the numbers we got on both of them (for example, if we get 5 on one die and 3 on the other, we record 8)

How many elements are in the sample space?

How many elements are in the following sample space?

A coin is tossed three times and the sequence of H's (heads) and T's (tails) is recorded.