1. The problem states that 30 people were surveyed about playing badminton and cricket, with a Venn diagram representing the counts. 2. The Venn diagram numbers are: - 12 people play only badminton (left circle blue area excluding overlap). - 4 people play both badminton and cricket (overlap area). - 6 people play only cricket (right circle red area excluding overlap). - 8 people play neither sport (outside both circles). 3. To find how many people play badminton, add the number who play only badminton and those who play both sports: $$12 + 4 = 16$$ 4. To find how many people play cricket, add those who play only cricket and those who play both: $$6 + 4 = 10$$ 5. Therefore: a) Number of people who play badminton is $16$. b) Number of people who play cricket is $10$.