Each box contains 4 tinsel + 1 tree + 5 snow globes = <<4+1+5=10>>10 decorations.
A total of 11 family boxes + 1 community center box = <<11+1=12>>12 boxes have been given out.
So the total number of decorations given out is 10 decorations * 12 boxes = <<10*12=120>>120 decorations.
#### 120