Question

Professor Jones has to select 6 students out of his English class randomly to participate in a regional contest. There are 36 students in the class. Is this a PERMUTATION or a COMBINATION problem? How many ways can Prof. Jones choose his students?

Answer 1

Answer: This is a combination.

There are 1947792 ways to choose his students.

Explanation:

Since we have given that

Number of students in a class = 36

Number of students selected for his English class = 6

We would use "Combination" .

As permutation is used when there is an arrangement.

whereas Combination is used when we have select r from group of n.

So, Number of ways that Prof. Jones can choose his students is given by

`^(36)C_6=1947792`

Hence, there are 1947792 ways to choose his students.