Lesson 3 of 5 · 3-set counting / max-min region values
Max min
Venn-based Reasoning · for IPMAT Indore, IPMAT Rohtak and JIPMAT
The exam method
- Maximum. detergents 328 + 88 + 60 = 476 = 400 + E2 + 2E3 → E3 ≤ 38.
Worked examples
Example 1Sitter
150 members, 40% do not like tea, 46% do not like coffee, everyone likes at least one. Both?
Solution: 21. Tea 90, coffee 81: 90 + 81 − 150.
Example 5Easy
400 families, Wheel 82%, Surf 22%, Tide 15%, each uses at least one. Most that use all three?
Solution: 38. E2 + 2E3 = 76; largest E3 when E2 = 0.
Watch out
- Pair totals: "20 like Burger and Taco" includes the 6 who like all three.
Picked from the 3-set counting / max-min region values note for this micro-concept automatically. The whole note: 3-set counting / max-min region values.