Unlimited number for sure. They keep sign more and more players.
I'm only waiting for people to yapping where is FFP? where is PSR?

They have been so wild in the transfer window like there is no FFP and PSR in EPL.
This is not a new thing for Chelsea where this EPL club is considered very active in the market almost every transfer season. Even in the last season, Chelsea spent around € 281.90m to buy 11 new players, 1 new player free transfer, and 1 player loan. But you know that most of their signings are not the top and have big salaries at the club.
And this season, Chelsea has also signed 6 players, the last being Brighton Center-Forward, João Pedro. And now, it's not over yet and it is reported that Chelsea is seriously eyeing Mohammed Kudus, Westham's Right Winger who has a value of £ 50m. Kudus had previously been targeted by Chelsea, and it turns out they have not given up on getting him.

Source: Chelsea have last night made their first official bid and offer for Mohammed Kudus