Question

How many subsets of {a, b, c, d, e, f, h, i} are there? Show how you determined it?

Answer 1

Answer:

Step-by-step explanation:

ANSWER:

• Number of elements : 8

• No of subsets = 2⁸

•                          = 256   (ANS)

Answer 2

Answer:

The number of subsets in $\{a, b, c, d, e, f, h, i\}$ are 256.

Step-by-step explanation:

Given a set $\{a, b, c, d, e, f, h, i\}$

The number of elements in the given set, $n= 8$.

• A set consists of a well-defined collection of any items.
• A subset is a part of another given set.
• If set A is a subset of set B, then it is represented as $A\subseteq B$.
• The number of subsets of a set with $n$ elements in it, is $2^{n}$.
• That includes the empty set and the set itself.

Therefore, the number of subsets in the given set is

$2^{8}= 2\times2\times2\times2\times2\times2\times2\times2=256$

Therefore, the number of subsets in $\{a, b, c, d, e, f, h, i\}$ are 256.