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? 15 (type a whole number.) c) how many had either a finished basement or a three - car garage? (type a whole number.)
Answer
Explanation:
Step1: Recall the principle of inclusion - exclusion
The formula for $|A\cup B|=|A| + |B|-|A\cap B|$, where $A$ is the set of houses with a finished basement and $B$ is the set of houses with a three - car garage.
Step2: Identify the given values
We know that $|A| = 49$, $|B|=52$, and $|A\cap B| = 37$.
Step3: Calculate $|A\cup B|$
Substitute the values into the formula: $|A\cup B|=49 + 52-37$. $|A\cup B|=64$.
Answer:
64