18. Given A = (x: x is a letter in the word ACCUMULATOR)
(1) Express A in roster form
(2) Find the cardinal number of the set of vowels in A
(3) Write down the power set of the set of vowels in A
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Answers
Step-by-step explanation:
Given:A = (x: x is a letter in the word ACCUMULATOR)
To find:
(1) Express A in roster form
(2) Find the cardinal number of the set of vowels in A
(3) Write down the power set of the set of vowels in A
Solution:
(1) Express A in roster form
Ans:
A in roster form:
A={A,C,U,M,L,T,O,R}
(2) Find the cardinal number of the set of vowels in A
Ans:
Set of Vowels of V={A,O,U}
Cardinal number of V
n(V)=3
(3) Write down the power set of the set of vowels in A
Ans:
Power set is set of all subsets of V
Subsets of V are:{A},{O},{U},{A,O},{A,U},{O,U},{A,O,U},{}
Power set
P(V)={{A},{O},{U},{A,O},{A,U},{O,U},{A,O,U},{}}
Hope it helps you.
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Answer:
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