A single breeding pair of rabbits is introduced to Australia in 1900. Assume (for simplicity) that each pair can produce 4 offspring each year (2 male, 2 female). Also assume, that all births happen in the last hour of the last day each year and the parents die immediately after offspring are born. a) How many rabbits are there after 10 years? b) How many rabbits are there after 25 years? If they have 20 offspring each year, c) How many rabbits are there after 10 years? d) How many rabbits are there after 25 years? Solution Each pair can produce 4 offsprings each year and parents die after giving birth to offsprings. So, offsprings makes the population and parents don\'t add to population. After first year total population is 4. Next year these 4 rabbits make 2 pairs and give birth to 4 off springs each. Second year population becomes 8, multiplies by 2 from last year. This continues till 10th year and then till 25th year. At the end of 10th year, the population of rabbits will be 2048 and at the end of 25th year the population of rabbits will be 33554432. Now when each year 20 offsprings are produced, after the end of first year total population is 20. At the end of second year, 20 rabbits make 10 pairs and give birth to 20 rabbits each taking total population to 10*20=200. At the end of 3rd year 200 rabbits make 100 pairs and give birth to 20 each taking total population to 100*20=2000. In this way at the end of each year population gets multiplied by 10.Therefore, at the end of 10 year total population will be 2*1010 and at the end of 25 years total rabbit population is will be 2*1025..