Question

List all the subsets of {3, 4, 7}.

For this, would one of the subsets be {} (blank)?

And would the others be the numbers alone:{3}, {4}, {7}. And then the pairs:{3,4}, {3,7}, {4,7}. Right?

Just want to make sure I'm doing it right! Thanks!

Answer 1

No of subsets = 2^3 = 8

Answer 2

\[\phi \]

Answer 3

What? Sorry.. I just don't get what your saying..

Answer 4

No of subsets =2 ^ no of elements in the given set

Answer 5

{{3}, {4}, {7} , {3,4} , {3,7}, {4,7} , {3,4,7} , phi}

Answer 6

What is phi? & Thanks!

Answer 7

You're correct. You got the single element sets and the sets with pairs.
Yes, {} is a subset also =) It's the empty set, meaning it has 0 elements, and it's often written as \(\large \emptyset\). The empty set is a subset of every other set.
The only one you missed is the set itself {3, 4, 7}. Technically, it is also a subset. A set is always considered to be a subset of itself.

Answer 8

Oh okay, thank you :)

Answer 9

My pleasure =D