Answer: 15504
Step-by-step explanation:
Given : The center for research in data science has a vacancy of 5 interns under a research attachment program.
Number of students applied = 20
The combination of n people taking r at a time is given by :-
[tex]C(n,r)=\dfrac{n!}{r!(n-r)!}[/tex]
Since, all students fulfill the minimum CGPA criteria it means all 20 students are equally eligible.
Then , the number of ways to select a team of 5 interns from all 20 interns :-
[tex]C(20,5)=\dfrac{20!}{5!(20-5)!}\\\\=\dfrac{20\times19\times18\times17\times16\times15!}{5!15!}\\\\=15504[/tex]
Hence, the number of ways to select a team of 5 interns. =
