When Alan and Chelsea are playing Scrabble, Alan, while adding up his score, claims to have a "bingo" (playing all 7 tiles in a single turn). There is clearly one tile remaining in his rack, meaning he did not have a bingo.
Chelsea is shown in bed with her make-up on. Most women remove their make-up before going to bed. However, as this is early in Charlie and Chelsea's relationship, it is not implausible that she would want to "look her best" even, maybe especially, when going to bed.