1. Tardigrade
  2. Question
  3. Mathematics
  4. Let S= x: x is a positive multiple of 3 less than 100 and P= x: x is a prime number less than 20 . Then, n(S)+n(P) is equal to

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. Let $S=\{x: x$ is a positive multiple of 3 less than 100$\}$ and $P=\{x: x$ is a prime number less than $20\}$. Then, $n(S)+n(P)$ is equal to

Sets

Solution:

$ S=\{3,6,9, \ldots, 99\} $
$ n(S)=33 $
$ P=\{2,3,5,7,11,13,17,19\} $
$ n(P)=8$
$ n(S)+n(P)=33+8=41$