Mr. Brown raises chickens. Each can be described as thin or fat, brown or red, hen or rooster. Four are thin brown hens, 17 are hens, 14 are thin chickens, 4 are thin hens, 11 are thin brown chickens, 5 are brown hens, 3 are fat red roosters, 17 are thin or brown chickens. How many chickens does Mr. Brown have?
I came up with the Venn diagram below for a total of 32 chickens. I'm not sure if it's correct though. I'd appreciate someone looking it over for me. Thanks