SOLUTION: Let S={1,2,3,...,18,19,20} be the universal set. Let sets A and B be subsets of S, where: Set A={1,2,4,5,7,10,13,15,16,17} Set B={1,3,6,9,10,12,16,17,18} Dete

Question 1195640: Let
S={1,2,3,...,18,19,20} be the universal set.
Let sets A and B be subsets of S, where:
Set A={1,2,4,5,7,10,13,15,16,17}

Set B={1,3,6,9,10,12,16,17,18}

Determine the following:

n(A)=

n(¯A)=

n(B)=

n(A∩B)=

n(A∪B)=

Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
n=number and there are 10 elements in A, and there are 10 elements on n(-A).
There are 9 elements in B.
The intersection is {1,10,16,17}
The union is {1,2,3,4,5,6,7,9,10,12,13,15,16,17,18}
There are 19 elements in both combined, 4 are the same, that leaves 15 in the union which are shown above.
Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
.

The level of complexity of this and similar problems is the same as

to move/(to transfer)/(to shift) matches from one box to another.

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