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There are 9 students in a class. The teacher chooses 2 students to go to the library. The order in which they are chosen does not matter. How many ways are there to choose the students?A.81B.504C.72D.36

Question

There are 9 students in a class. The teacher chooses 2 students to go to the library. The order in which they are chosen does not matter. How many ways are there to choose the students?A.81B.504C.72D.36

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Solution

The problem can be solved using the combination formula which is nCr = n! / r!(n-r)!.

Here, n is the total number of students, which is 9, and r is the number of students to be chosen, which is 2.

So, the number of ways to choose 2 students out of 9 is 9C2 = 9! / 2!(9-2)! = 36.

So, the answer is D.36.

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