Question

Suppose B is a proper subset of C,
If number of (C)= 8.
a. what is the maximum number of elements in B?
b. What is the least possible number of elements in B?​

Answer 1

Answer:

Maximum: 7

Minimum: 0

Step-by-step explanation:

A proper subset B of a set C, denoted $B\subset C$, is a subset that is strictly contained in C and so necessarily excludes at least one member of C.

This means that the number of elements in B must be at least 1 less than the number of elements in C. If the number of elements in C is 8, then the maximum number of elements in B can be 7.

The empty set is a proper subset of any nonempty set. Hence, the minimum number of elements in B can be 0.