Skip to content / Đến nội dung
ThichHocToan.com

MathNet 2020 — Math Olympiad Vault — Part 01 Question 141

Math Olympiad Vault · MathNet 2020 — Math Olympiad Vault — Part 01

Question 141

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) $37$