Question

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

Please answer fast

Answer 1

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

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\}\}`.