Asked by viola
1) find the power set of 446
2) find the power of (c,d,e,f,y )
3)if X=(2,4,6,8 )
Y=(3,6,9)
Z=( 1,3,6,8)
2) find the power of (c,d,e,f,y )
3)if X=(2,4,6,8 )
Y=(3,6,9)
Z=( 1,3,6,8)
Answers
Answered by
MathMate
Please check your questions.
(a) a power set of a set A is a set of all possible subsets of A. Assuming 446 is a single element, or A={446}, then the power set consists of ∅, and {446}. In general, if A has n elements, the cardinality of the power set of A is 2^n, or has 2^n elements.
(b) the power <b>set</b> of {c,d,e,f,y} has 2^5=32 elements, including ∅.
there are
1 set with no elements: ∅
5 sets with one elements:{c},{d}...
10 sets with two elements:{c,d},{c,e},...
10 sets with three elements: {c,d,e}...
5 sets with four elements: {c,d,e,f},...
1 set with 5 elements.
Total=32 sets.
(c) not sure if question is complete.
(a) a power set of a set A is a set of all possible subsets of A. Assuming 446 is a single element, or A={446}, then the power set consists of ∅, and {446}. In general, if A has n elements, the cardinality of the power set of A is 2^n, or has 2^n elements.
(b) the power <b>set</b> of {c,d,e,f,y} has 2^5=32 elements, including ∅.
there are
1 set with no elements: ∅
5 sets with one elements:{c},{d}...
10 sets with two elements:{c,d},{c,e},...
10 sets with three elements: {c,d,e}...
5 sets with four elements: {c,d,e,f},...
1 set with 5 elements.
Total=32 sets.
(c) not sure if question is complete.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.