Question

Write the Power Set of B = {x: x is a letter of the word ROOT}

Please answer fast

Answer 1

Answer:

$\text{Power set of }B=\{\phi,\{R\},\{O\},\{T\},\{R,O\},\{R,T\},\{O,T\},\{R,O,T\}\}$

Step-by-step explanation:

It is given that

$B=\{x:x\text{ is a letter of the word ROOT}\}$

It means, set B can be written as

$B=\{R,O,T\}$

Set of all subsets is called power set.

So, the power set of B is  

$\text{Power set of }B=\{\phi,\{R\},\{O\},\{T\},\{R,O\},\{R,T\},\{O,T\},\{R,O,T\}\}$

Therefore, the required set is $\text{Power set of }B=\{\phi,\{R\},\{O\},\{T\},\{R,O\},\{R,T\},\{O,T\},\{R,O,T\}\}$.