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Question 2

In how many ways can 3 students be selected from a group of 12 students to represent a school in the inter school essay competition?
  1. 33
  2. 12!
  3. 1320
  4. 220
  5. 36
The correct Answer is 220 ways and the correct Choice is (D).

Explanatory Answer
The number of ways to select 3 students out of 12 students is an instance of sampling without replacement and without ordering.

So, one can select 3 students out of 12 students in 12C3 ways.

i.e., value of 12C3 = 220

Therefore, there are 220 ways in which the selection of students for the inter school essay competition can be done.

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