Question 1199175
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In how many ways can a student select five questions to answer from an exam containing nine 
questions if the student is required to answer the first and the last question?
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Student should select five questions to answer, but of these five questions, two of them,
the first and the last questions, are obligatory: they are not the subject of choice.


It means that the student really selects only 5-2 = 3 questions from 9-2 = 7 questions.


The number of way to select 3 questions from 7 questions is  

    {{{C[7]^3}}} = {{{(7*6*5)/(1*2*3)}}} = 35.


<U>ANSWER</U>. In 35 ways.
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Solved.