Search any question & find its solution
Question:
Answered & Verified by Expert
In a committee, 50 people speak French, $\mathbf{2 0}$ speak Spanish and 10 speak both Spanish and French. How many speak at least one of these two languages?
Solution:
1424 Upvotes
Verified Answer
Let $F=$ the set of people who speak French and $S=$ the set of people who speak Spanish
Then, $n(F)=50, n(S)=20, n(F \cap S)=10$
$\begin{aligned}
&\text { As } n(F \cup S)=n(F)+n(S)-n(F \cap S) \\
&=50+20-10=60
\end{aligned}$
Hence, 60 people speak at least one of these two languages.
Then, $n(F)=50, n(S)=20, n(F \cap S)=10$
$\begin{aligned}
&\text { As } n(F \cup S)=n(F)+n(S)-n(F \cap S) \\
&=50+20-10=60
\end{aligned}$
Hence, 60 people speak at least one of these two languages.
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.