Answer: There are 50 ways to select in this way and there is only 1 combination is possible i.e. 3 students and 4 professors.
Step-by-step explanation:
Since we have given that
Number of professors = 5
Number of students = 5
We need to find the number of ways of 7 members in such that number of professors must be one more than students.
So, if we select 3 students, then there will be 4 professors.
So, Number of ways would be
[tex]^5C_3\times ^5C_4\\\\=10\times 5\\\\=50[/tex]
Hence, there are 50 ways to select in this way and there is only 1 combination is possible i.e. 3 students and 4 professors.
