Question

2. a. The center for research in data science has a vacancy of 5 interns under a research attachment program. However, 20 students have applied. Determine the number of ways to select a team of 5 interns given that all students fulfill the minimum CGPA criteria. [3 marks]

Answer 1

Answer: 15504

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 :-

`C(n,r)=(n!)/(r!(n-r)!)`

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 :-

`C(20,5)=(20!)/(5!(20-5)!)\\\\=(20*19*18*17*16*15!)/(5!15!)\\\\=15504`

Hence, the number of ways to select a team of 5 interns. =