Question

A tiny $Paramecium$ starting with just one individual and through binary fission, doubling in numbers every day, and imagine what a mind boggling population size it would reach in 64 days (provided food and space remain unlimited).

Answer 1

Let the number of days in which $Paramecium$ has reproduced be n. Hence, the population size arising from a single individual = 2n. This is because two daughter cells are produced from a parent $Paramecium$ after one round of binary fission.

Number of members in the population of $Paramecium$ in 64 days = 2^64

In absence of food and space constraints, a huge population of $Paramecium$ will be achieved.