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3.)  Find the number of integers between 1 and 1,000 inclusive that are not divisible by 10.

Ans:  Let $S =  \{n ~:~ 1 \leq n \leq 1000 \}$,  $A_i = \{n ~:~ ~ i | n, 1 \leq n \leq 1000 \}$

\vfil


4.)  Find the number of integers between 1 and 1,000 inclusive that are not divisible by 199.


\vfil

5.)  $|A_{15}| = $  \hfil  $|\overline{A_{15}}| = $  
\vfil
\r\r\r\r
\eject

7.)    Find the number of integers between 1 and 1,000 inclusive that are not divisible by 10 or 15.


\eject

8.)    Find the number of integers between 1 and 1,000 inclusive that are not divisible by 10 or 199.
\r

\vskip -5pt
9.)    Find the number of integers between 1 and 1,000 inclusive that are not divisible by 15 or 199.
\r
10.)    Find the number of integers between 1 and 1,000 inclusive that are not divisible by 10 or 20.

\r
\vskip -10pt

\hr
\vfill
\r\r\r\r\r\v

11.)    Find the number of integers between 1 and 1,000 inclusive that are not divisible by 10, 15, 20, or 199.






\end