Question

H = {z∣z ∈ N and 82 ≤ z ≤ 106}


H has ___ subsets.
H has ___ proper subsets.

Answer 1

Explanation:

Notice that H is a set with 106 - 81 = 25 elements.

Hence H has
`2^(25)` subsets.

In order to get the proper subsets of H we just need to deduct one from
`2^(25)`

So there are
`2^(25)-1` proper subsets.