--- title: Two circles: how many are in both? — a lesson of Mova's school · trees and pragmatics description: «Two circles: how many are in both?», a lesson of the lessons course of Mova's primary school, sentence by sentence with dependency trees and pragmatics. It begins: Those who are in at least one circle are the whole group without those in neither circle. --- [Mova](https://md.mova.elamur.ai/free/en/) · [this page in HTML](https://mova.elamur.ai/free/en/corpora/school/lessons/179-venn-both/) [home](https://md.mova.elamur.ai/free/en/) / [corpora](https://md.mova.elamur.ai/free/en/corpora/) / [school](https://md.mova.elamur.ai/free/en/corpora/school/) / [Lessons](https://md.mova.elamur.ai/free/en/corpora/school/lessons/) / Two circles: how many are in both? # Two circles: how many are in both? Lesson 179 of the lessons course of Mova's primary school: 3 sentences, each with its syntax tree and pragmatics. The lessons are written for Mova, and their agreed trees are part of Mova corpus 0.4 (CC BY-SA 4.0). - [0](https://md.mova.elamur.ai/free/en/corpora/school/lessons/179-venn-both/0/) — Those who are in at least one circle are the whole group without those in neither circle. - [1](https://md.mova.elamur.ai/free/en/corpora/school/lessons/179-venn-both/1/) — Adding the two circles counts the middle part twice, so the sum is bigger than «at least one» by exactly the number in both. - [2](https://md.mova.elamur.ai/free/en/corpora/school/lessons/179-venn-both/2/) — 30 children, 6 like neither: 24 like at least one. 15 like football and 13 like chess: 15 + 13 = 28, so 28 - 24 = 4 like both. - ← previous: [Days of the week after many days](https://md.mova.elamur.ai/free/en/corpora/school/lessons/178-days-of-the-week/) - next →: [Olympiad puzzle: how many pages from the digits?](https://md.mova.elamur.ai/free/en/corpora/school/lessons/180-digits-on-pages/) - ↑ back to [Lessons](https://md.mova.elamur.ai/free/en/corpora/school/lessons/)