We were able to determine the number of elements in the union of two sets with the formula n = ( A ∪ B ) = n ( A ) + n ( B ) − n ( A ∩ B ) Can you determine a formula for finding the number of elements in the union of three sets? In other words, write a formula to determine n ( A ⋃ B ⋃ C ). [ Hint: The formula will contain each of the following: n ( A ), n ( B ), n ( C ), and 2 n ( A ⋂ B ⋂ C ).
We were able to determine the number of elements in the union of two sets with the formula n = ( A ∪ B ) = n ( A ) + n ( B ) − n ( A ∩ B ) Can you determine a formula for finding the number of elements in the union of three sets? In other words, write a formula to determine n ( A ⋃ B ⋃ C ). [ Hint: The formula will contain each of the following: n ( A ), n ( B ), n ( C ), and 2 n ( A ⋂ B ⋂ C ).
Solution Summary: The author explains the formula for finding the number of elements in the union of three sets.
We were able to determine the number of elements in the union of two sets with the formula
n
=
(
A
∪
B
)
=
n
(
A
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+
n
(
B
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−
n
(
A
∩
B
)
Can you determine a formula for finding the number of elements in the union of three sets? In other words, write a formula to determine n (A ⋃ B ⋃ C). [Hint: The formula will contain each of the following: n (A), n (B), n (C), and 2n (A ⋂ B ⋂ C).
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