Question

There are three novels on Debra's reading table:

. On her next trip, she can choose to take some, none, or all of these novels. In the braces below, list all the possible sets of novels that Debra can take.
Write each set in your list in roster form. If there is more than one set in your list, separate them with commas. If you need the empty set in your list, use the symbol .

Answer 1

{ }, {A}, {B}, {C}, {A, B}, {A, C}, {B, C}, {A, B, C}

Explanation:

She can take none, 1, 2, or 3 novels.

Let's call the novels A, B, C.

She takes none.

1. { }

She takes only 1.

2. {A}

3. {B}

4. {C}

She takes 2.

5. {A, B}

6. {A, C}

7. {B, C}

She takes 3.

8, {A, B, C}

There are 8 different possible outcomes.

Answer:

{ }, {A}, {B}, {C}, {A, B}, {A, C}, {B, C}, {A, B, C}