A 32:1 multiplexer can be designed by using two 16:1 multiplexers. The outputs from these multiplexers are combined using an OR gate, which allows for the selection of one of 32 inputs. This is a standard technique used in digital circuit design to build larger multiplexers.
Final Answer:
\[
\boxed{\text{(1) two 16:1 Muxs and one two-input OR gate}}
\]