Can you connect more sensors of the same type to a single board while not using up more pins than if you were to use a single sensor?
If the connection is a digital sense pin then you can use a parallel-in serial-out IC to read them all simultaneously and then shift it in. Takes up 3 pins on the arduino a latch a clock and a data pin.

If the connection is SPI then you can connect the clocks and MISO pins together and then need a slave select for each. you can control many of them with a serial in parallel out IC or a decoder.

If the connection is with the I2C protocol and each device has a different address then you can simply connect them all in parallel.

If the sensor has an analog output then you can use an analog to digital converter (ADC) which can have multiple inputs and often have a serial interface.