turkey-yks 2011 Q10

turkey-yks · Other · lys1-math Number Theory Combinatorial Number Theory and Counting

$$\begin{aligned} & A = \left\{ n \in Z ^ { + } \mid n \leq 100 ; n \text{ is divisible by } 3 \right\} \\ & B = \left\{ n \in Z ^ { + } \mid n \leq 100 ; n \text{ is divisible by } 5 \right\} \end{aligned}$$
The sets are given. Accordingly, how many elements does the difference set $\mathrm { A } \backslash \mathrm { B }$ have?
A) 33
B) 32
C) 30
D) 28
E) 27

$$\begin{aligned}
& A = \left\{ n \in Z ^ { + } \mid n \leq 100 ; n \text{ is divisible by } 3 \right\} \\
& B = \left\{ n \in Z ^ { + } \mid n \leq 100 ; n \text{ is divisible by } 5 \right\}
\end{aligned}$$

The sets are given.\\
Accordingly, how many elements does the difference set $\mathrm { A } \backslash \mathrm { B }$ have?\\
A) 33\\
B) 32\\
C) 30\\
D) 28\\
E) 27

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