web app - Showing the number of events per day over a month

On a web app that I am building, one of the screens need to show, for a month period, the number of events on each day.

I've tried the following:

1. 
   

   Showing the information on a calendar. This feels a bit awkward since, for each cell, I'm showing two numbers (the day of the month and the number of events).

   
   


2. 
   

   Removing the day of the month from the calendar. This has the drawback of making it harder for the users in case they want to look at a specific day.

   
   


3. 
   

   Using a bar graph with the days of the month on the X-axis and the number of events on the y-axis. The problem with this approach is that the number of events doesn't change that much across days making the graph look strange.

   
   

Do you have any suggestions?