A student has to answer 6 questions. Maximum no. of questions that can be answered from any section is 4. How many ways he can attempt the paper?

• Given Question has some mistakes.... Actual question is...
  There are two sections in a question paper each contain five questions. A students has to answer 6 questions.Maximum no. of questions that can be answered from any section is 4. How many ways he can attempt the paper?
  
  (a) 50
  (b) 100
  (c) 120
  (d) 200
  Ans. (d)
  
  If the max number from each section is 4 and a total of 6 questions must be answered then the possible ways to answer are:
  
  4 from A and 2 from B
  
  or 2 from A and 4 from B
  
  or 3 from both A and B
  
  Number of ways of choosing 4 from part A AND 2 from part B = 5C4 * 5C2 = 50 ... (AND means multiply)
  
  Number of ways of choosing 2 from part A AND 4 from part B = 5C2 * 5C4 = 50
  
  Number of ways of choosing 3 from part A AND 3 from part B = 5C3 * 5C3 = 100
  
  
  So total number of ways to answer the paper = 50 + 50 + 100 = 200 → choice (d)
• 13 years agoHelpfull: Yes(12) No(0)
• How many sections are there and how many questions per section are there ?
  
  Pls give complete data.
• 13 years agoHelpfull: Yes(1) No(4)