A team of ten is to be formed from 6 male doctors and 10 nurses of whom 5 are male and 5 are female. In how many ways can this be done, if the team must have atleast 4 doctors and atleast 4 nurses with atleast 2 male nurses and at least 2 female nurses?

Explanation

To solve the problem of forming a team of 10 members from 6 male doctors and 10 nurses (5 male and 5 female), while adhering to the constraints of having at least 4 doctors, at least 4 nurses, at least 2 male nurses, and at least 2 female nurses, we can break down the solution into several cases.

### Step-by-Step Solution:

1. **Identify the total team composition**:
- We need a total of 10 members.
- The team must consist of at least 4 doctors and at least 4 nurses.

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