Question

question 8 (1 point)
state the number of subsets for the set \\{d, \\$, l, m, 10, 4\\}.

your answer:

answer

Explanation:

🆕 New Concept Discovered: Subsets of a Set
Two choices for each element: in or out.

Step 1: Count the elements

Identify the number of elements, \( n \), in the given set:

$$ S = \{d, \$, L, m, 10, 4\} $$

The elements are \( d \), \( \$ \), \( L \), \( m \), \( 10 \), and \( 4 \).

$$ n = 6 $$

Step 2: Apply the subset formula

For any set with \( n \) elements, each element can either be included in a subset or excluded from it (2 choices per element). By the Fundamental Counting Principle, the total number of subsets is:

$$ 2^n $$

Substitute \( n = 6 \):

$$ 2^6 = 64 $$

Answer:

64