SOLUTION: Let A = {5,6,7,8,9,11} How many subsets does A have? How many proper subsets does A have ?
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-> SOLUTION: Let A = {5,6,7,8,9,11} How many subsets does A have? How many proper subsets does A have ?
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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)
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The set A has
= 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
".