Every man in a group of 20 men likes either mangoes or an apple. Every man who likes apples also likes mangoes, 9 men like mangoes but not applies. How many like mangoes and apples?

Options

A. 9
B. 11
C. 10
D. 12

Explanation

To solve the problem step by step, we can use the information provided in the question:

1. **Identify the Total Number of Men**:
- We know that there are a total of 20 men in the group.

2. **Understanding Preferences**:
- Every man likes either mangoes or apples.
- Every man who likes apples also likes mangoes. This means that the set of men who like apples is a subset of the set of men who like mangoes.

3. **Given Information**:
- 9 men like mangoes but not apples. This means these 9 men are exclusively mango lovers.

4. **Calculate the Remaining Men**:
- Since there are 20 men in total and 9 of them like only mangoes, we can find the number of men who like both mangoes and apples.
- We subtract the number of men who like only mangoes from the total number of men:
\[ \text{Men who like mangoes and apples} = 20 - 9 = 11 \]

5. **Conclusion**:
- Therefore, the number of men who like both mangoes and apples is 11.

### Final Answer:
11 men like both mangoes and apples.