Question

Write down all the subsets of the set { Dave, Joanne, Erica }.

Short answer

All the subsets of the set-

$\left\{\varnothing \right\}$

$$\begin{gathered} \left\{Dave\},\{Joanne\},\{Erica\right\} \\ \left\{Dave,Joanne\right\},\left\{Joanne,Erica\right\},\left\{Erica,Dave\right\} \\ \left\{Dave,Joanne,Erica\right\} \end{gathered}$$

Step-by-step solution

Step 1. Given information.

The set is given$\left\{Dave,Joanne,Erica\right\}.$

Step 2. Write down the subset.

To write down the step first write subsets with no elements, then those with one element, then those with two elements and finally with three elements.

$0$Elements -$\left\{\varnothing \right\}$

$1$Elements -$\left\{Dave\right\},\left\{Joanne\right\},\left\{Erica\right\}.$

$2$Elements -role="math" localid="1647244496274" $\left\{Dave,Joanne\right\},\left\{Joanne,Erica\right\},\left\{Erica,Dave\right\}.$

$3$ Elements - $\left\{Dave,Joanne,Erica\right\}.$