An ant farm contains both red and black ants. A particular passage in the farm is so narrow that only 1 ant can get through at a time. If 10 ants (5 red and 5 black) follow each other through the passage, how many different colour patterns can be produced (assuming that the red ants are indistinguishable from each other, as are the blacks)? [Answer]

1in2 processor chip can be modelled as an isothermal plane wall of silicon, isothermal on both sides. the power input to the bottom of the plane wall, or the processing power of the chip, often called the thermal design power (tdp), is 100w. assume the periphery is adiabatic. the silicon is 400 microns thick. the temperature at the junction, or in this case on the bottom of the isothermal plane wall, is 85°c. what is the top surface temperature, assuming that the only mode of heat transfer is conduction