Problem $5$: In an organization, there are $10$ employees, each with a unique employee ID from $1$

to $10($we can call these employees $1,2,3,4,5,6,7,8,9,10$ for simplicity$).$ Every employee wishes

a happy birthday to every other employee in the organization, with the following exception: Em$-$

ployees $9$ and $10$ are new employees so they don't wish a happy birthday to anybody else, but they

will still be wished a happy birthday. How many total happy birthday wishes are there in a given

year $($assuming no leap year birthdays$)?$