A group of market women sell at least one of yam, plantain and maize. 12 of them sell maize, 10 sell yam and 14 sell plantain, 5 sell plantain and maize, 4 sell yam and maize, 2 sell yam and plantain only, while 3 sell all the three items. How many women are in the group
A. 25 B. 19 C. 18 D. 17
Correct Answer: A
Explanation
The fast way to solve this problem is to use set Venn diagram. The sets are yam \(( Y )\), Plantain \(( P )\) and maize \(( M )\). \(U =?\) \(U =\) No of women in the group U =4+7+6+1+2+2+3 \(U =25\)