Question 18
A partition of a positive integer is a way of writing the integer as a sum of at least two positive integers. For example, the partitions of 4 are:
$$3+1,\quad2+2,\quad2+1+1\quad\text{and}\quad1+1+1+1.$$
How many partitions of 7 are there?
$$3+1,\quad2+2,\quad2+1+1\quad\text{and}\quad1+1+1+1.$$
How many partitions of 7 are there?