Question

H = {z∣z ∈ N and 82 ≤ z ≤ 106}


H has ___ subsets.
H has ___ proper subsets.

Answer 1

Answer:

Step-by-step 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.