34. A bag of fruit contains 10 fruits, with an even number of apples, at most two oranges, a multiple of 3 bananas, and at most one pear. How many types of these bagged fruits are there?
34. Generating function $f(x)=\left(1+x^{2}+x^{4}+\cdots\right)\left(1+x+x^{2}\right)\left(1+x^{3}+x^{6}+\cdots\right)(1+x)$
$$
\begin{array}{l}
=\frac{1}{1-x^{2}}\left(1+x+x^{2}\right) \cdot \frac{1}{1-x^{3}}(1+x)=\frac{1}{(1-x)^{2}} \\
=\sum_{n=0}^{\infty}(n+1) x^{n} . \\
f_{n}=n+1, f_{10}=11 .
\end{array}
$$