We know that, any relative position of the hands of a clock is repeated 11 times in every 12 hours.
∴ In every 12 hours, hands coincide 11 times and are opposite to each other 11 times.
∴ In every 12 hours, hands are in a straight line 11 + 11 = 22 times.
∴ In every 24 hours hands are in a straight line 44 times.
