A team has finished a game with 1-11 singles and extra-base hits 1 time since 1897, most recently Colorado Rockies on 2 September 2019. That is about one every 443,004 team-games.
Box score for the most recent one ↗
1-11 2-10 2-11 2-12 2-13 3-9 3-10
The whole distribution — Singles and Extra-Base Hits · All 18 shapes