4. A student must answer seven questions on an exam that contains twelve questions. a. How...
4. A student must answer seven questions on an exam that contains twelve questions. a. How many ways can the student do this? b. How many ways are there if the student must answer the first and last question?
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Homework Answers
4)
a) number of ways to choose 7 questions from 12 =12C7 =12!/(7!*(12-7)!) =792
b)
as first and last question has to be answered therefore student needs to answer 5 questions out of remaining 10 questions
number of ways to do that =10C5 =10!/(5!*(10-5)!) =252
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