X and Y are two sets such that nX = 15, nY = 12 and n{X ∩ Y} = 7. Find n{X ∪ Y}.
Question 1 Report
X and Y are two sets such that nX = 15, nY = 12 and n{X ∩ Y} = 7. Find n{X ∪ Y}.
Answer Details
The formula for finding the number of elements in the union of two sets X and Y is:
n(X U Y) = nX + nY - n(X ∩ Y)
where nX is the number of elements in set X, nY is the number of elements in set Y, and n(X ∩ Y) is the number of elements in the intersection of X and Y. In this case, nX = 15, nY = 12, and n(X ∩ Y) = 7, so we can plug in the values into the formula:
n(X U Y) = 15 + 12 - 7
n(X U Y) = 20
So, the number of elements in the union of X and Y is 20.
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