roblem: Report Error A partition of a positive integer $n$ is any way of writing $n$ as a sum of one or more positive integers, in which we don't care about the order of the numbers in the sum. For example, the number 4 can be written as a sum of one or more positive integers (where we don't care about the order of the numbers in the sum) in exactly five ways: \[4,\; 3 + 1,\; 2 + 2,\; 2 + 1 + 1,\; 1 + 1 + 1 + 1.\] So 4 has five partitions. What is the number of partitions of the number 7?

Answer:There are 15 partitions of 7.Step-by-step explanation:We are given that a partition of a positive integer $n$ is any way of writing $n$ as a sum of one or more positive integers, in which we don't care about the numbers in the sum .We have to find the partition of 7We are given an example Partition of 4 4=44=3+14=2+24=1+2+14=1+1+1+1There are five partition of 4In similar way  we are finding  partition of 77=77=6+17=5+27=5+1+17=3+3+17=3+47=4+2+17=3+2+27=4+1+1+17=3+1+1+1+17=2+2+2+17=3+2+1+17=2+2+1+1+17=2+1+1+1+1+17=1+1+1+1+1+1+1Hence, there are 15 partitions of 7.