A committee of 9 people is deciding which 5 people of 14 candidates should be hired for a job.

In order to be hired, a candidate must receive 5 votes.

Each of the 9 people on the committee has 5 votes to give (i.e., each of the 9 can each only vote for five people).

While it’s possible that more than five of the candidates could receive 5 votes (right?) it seems pretty improbable. That’s my question: how probable/improbable is it that more than 5 of the 14 would receive

5 votes?