Question

A student must answer five questions on a quiz that contains ten questions. How many ways are there if the student must answer the first and last question?

Answer 1

Solution :

Total number of questions = 10

Number of questions that must be answered = 5

First and last question must be answered. Hence, now we are left with total 8 questions out of which 3 questions must be answered.

Number of ways of selecting 3 questions to answer from 8 questions is given by,

Hence, there are total 56 ways if the student must answer the first and last question.