SOLUTION: Let A = {5,6,7,8,9,11} How many subsets does A have? How many proper subsets does A have ?

Algebra ->  Subset -> SOLUTION: Let A = {5,6,7,8,9,11} How many subsets does A have? How many proper subsets does A have ?      Log On


   



Question 1070408: Let A = {5,6,7,8,9,11}
How many subsets does A have?
How many proper subsets does A have ?

Answer by ikleyn(52784) About Me  (Show Source):
You can put this solution on YOUR website!
.
The set A has 2%5E6 = 64 subsets including one empty subset and one improper subset which coincides with the set A.

The number of proper subsets is 64 - 1 = 63.

It excludes that improper subset.


For details, see the lesson
    - How many subsets are there in a given finite set of n elements?
in this site.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic "Miscellaneous word problems".