text: # Q.9.     In how many ways can a student choose a programme of 5 courses if 9 courses are available and 2 specific courses are compulsory for every student?
  
  9 courses are available and 2 specific courses are compulsory for every student.
  
  Therefore, every student has to select 3 courses out of the remaining 7 courses.
  
  This can be selected in $^7C_3$ ways.
  
  Thus, using multiplication priciple, number of ways of selecting courses  $=^7C_3$
  
  $=\frac{7!}{3!4!}$
  
  $= \frac{7\times 6\times 5}{ 3\times 2}$
  
  $=35$
  
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explanation: The text extract contains a math question and its corresponding answer. The question asks about the number of ways a student can choose a program of 5 courses from 9 available courses, given that 2 specific courses are compulsory. The answer is provided, showing the step-by-step calculation using combinations and the multiplication principle, resulting in 35 ways.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: # Q.9.     In how many ways can a student choose a programme of 5 courses if 9 courses are available and 2 specific courses are compulsory for every student?
  
  9 courses are available and 2 specific courses are compulsory for every student.
  
  Therefore, every student has to select 3 courses out of the remaining 7 courses.
  
  This can be selected in $^7C_3$ ways.
  
  Thus, using multiplication priciple, number of ways of selecting courses  $=^7C_3$
  
  $=\frac{7!}{3!4!}$
  
  $= \frac{7\times 6\times 5}{ 3\times 2}$
  
  $=35$
  
  Exams
  Articles
  Questions
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The text extract contains a math question and its corresponding answer. The question asks about the number of ways a student can choose a program of 5 courses from 9 available courses, given that 2 specific courses are compulsory. The answer is provided, showing the step-by-step calculation using combinations and the multiplication principle, resulting in 35 ways.
  
  Label: question-and-answer