The three **posts** can be given in 4080 **ways **among 17 students.

It is given that the number of people available to choose the posts from is 17.

There are three **posts** here- president, vice president, and secretary.

Now, if we choose a candidate for President first, there are 17 students available.

Next, if we select a Vice-President, there are 16** ways** to select the vice-president, since one student already is the president.

At, last there are 15 students available to choose the secretary from as two **students **already hold a post.

Hence, the number of ways to select the President, Vice-President, and Secretary are-

17 X 16 X 15 ways

Therefore we get

**4080 **ways.

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