In an examination, a student has to answer 4 questions out of 5 questions ; questions 1 and 2 are however compulsory, Determine the number of ways in which the student can make the choice.
Total number of question = 5
Total number of question to be answered = 4
Given that 1 and 2 question are compulsory, the number of ways in which a student can choose the questions will follow the following way.
Total question = 5 - 2 = 3
Out of 3 remaining questions a student has to select any 2 for answering
⇒3C2=3 ways.