Question

How many proper subsets will Z have if
Z = {p,q,r)​

Answer 1

Answer:

there will be 7subsets

Step-by-step explanation:

Z={p,q,r} is 3. This is formally denoted as |Z|=3.

Every set of n elements has 2n subsets, therefore our set with 3 elements has

23=8.

These are the 8 subsets:

∅,{p},{q},{r},{p,q},{p,r},{q,r},{p,q,r}

In this question, we are looking for proper subsets. Z proper subset is a subset of A that isn’t equal to Z.

Thus, we have to subtract 1 because one of our 8 subsets is equal to Z.

Hence, the number of proper subsets of Z is 7.