the greens are moving. their real estate agent located 79 houses listed for sale in their price range. of…
the greens are moving. their real estate agent located 79 houses listed for sale in their price range. of those houses listed for sale, 49 had a finished basement. 52 had a three - car garage. 37 had a finished basement and a three - car garage. complete parts a) through c). a) how many had a finished basement but not a three - car garage? 12 (type a whole number.) b) how many had a three - car garage but not a finished basement? (type a whole number.)
Answer
Explanation:
Step1: Define sets
Let $A$ be the set of houses with a finished basement and $B$ be the set of houses with a three - car garage. We know $n(A) = 49$, $n(B)=52$, $n(A\cap B)=37$ and the total number of houses $n = 79$.
Step2: Calculate number for part b
To find the number of houses with a three - car garage but not a finished basement, we use the formula $n(B\cap\overline{A})=n(B)-n(A\cap B)$. Substitute the known values: $n(B) = 52$ and $n(A\cap B)=37$. So $n(B\cap\overline{A})=52 - 37$. $52-37 = 15$
Answer:
15