Question 30
How many different ways are there to select $2$ distinct integers from
$$\{2000,2001,2002,\ldots,2014,2015\}$$
such that the product of the $2$ numbers is divisible by $6$?
(Note: order is not important, choosing $2001$ and $2002$ is the same as choosing $2002$ and $2001$.)
$$\{2000,2001,2002,\ldots,2014,2015\}$$
such that the product of the $2$ numbers is divisible by $6$?
(Note: order is not important, choosing $2001$ and $2002$ is the same as choosing $2002$ and $2001$.)