Question 1049664: A={4,5,6,7,8,10,11,12,}
How many subsets does A have
How many proper subsets does A have
Answer by MathLover1(20849)   (Show Source):
You can put this solution on YOUR website!
A={4,5,6,7,8,10,11,12,}
How many subsets does A have
{} | {4} | {5} | {6} | {7} | {8} | {10} | {11} | {12} | {4, 5} | {4, 6} | {4, 7} | {4, 8} | {4, 10} | {4, 11} | {4, 12} | {5, 6} | {5, 7} | {5, 8} | {5, 10} | {5, 11} | {5, 12} | {6, 7} | {6, 8} | {6, 10} | {6, 11} | {6, 12} | {7, 8} | {7, 10} | {7, 11} | {7, 12} | {8, 10} | {8, 11} | {8, 12} | {10, 11} | {10, 12} | {11, 12} | {4, 5, 6} | {4, 5, 7} | {4, 5, 8} | ... (total: 256)
simply:
If a set contains ‘ ’ elements, then the number of subsets of the set is 
You are given the set consisting of  elements; so, its cardinal number is and set has
subsets including the empty set {} and the set itself as a subset {4,5,6,7,8,10,11,12,}.
How many proper subsets does A have
If a set contains ‘’ elements, then the number of proper subsets of the set is  .
so, the number of proper subsets is 
|
|
|
