First Round

We consider numbers with two digits (the first digit cannot be $0$). Such a number is called vain if the sum of the two digits is greater than or equal to the product of the two digits. For example, the number $36$ is not vain, as $3+6$ is smaller than $3\cdot 6$. How many numbers with two digits are vain? A) $17$ B) $18$ C) $26$ D) $27$ E) $37$