The number of ways of selecting two numbers a and b, a ∈{2,4,6, ….., 100} and b ∈{1,3,5, ….., 99} such that 2 is the remainder when a+b is divided by…

The number of ways of selecting two numbers $\displaystyle a$ and $\displaystyle b, a \in\{2,4,6, \ldots . ., 100\}$ and $\displaystyle b \in\{1,3,5, \ldots . ., 99\}$ such that $\displaystyle 2$ is the remainder when $\displaystyle a+b$ is divided by $\displaystyle 23$ is