In an examination a student has to answer 4 questions out of 5 questions; questions 1 and 2 are however compulsory. Determine the number f ways n which the student can make the choice.

In an examinations there are three multiple choice questions and each questions has 4 choices. Find the number of ways in which a student can fail to get all answer correct.

A student has to answer 10 out of 13 questions in an examination. The number of ways in which he can answer if he must answer atleast 3 of the first five questions is

There are three sections in a question paper, each containing 5 questions. A candidate has to solve any 5 questions, choosing at least one from each section. Find the number of ways in which the candidate can choose the questions.

In a test paper there are 10 questions . Number of ways in which 6 questions to be answered is

A students is to answer 10 out of 13 questions in an examminations such that he must choose at least 4 from the first five questions. Find the numbers of choices available to him.

In a examination there are four multiple choice questions and each question has 4 choices. Number of ways in which a student can fail to get all answer correct is (i) 256 (ii) 254 (iii) 255 (iv) 63

A student has to answer 10 out of 13 questions in an examination. The number of ways in which he can answer if he must answer atleast 3 of the first five questions is 276 b. 267 c. 80 d. 1200

Find the total number of ways of answering 5 objective type questions, each question having 4 choices.

In an entrance examination, a candidate is to answer a multiple choice question which has four alternative solutions. The candidate either guesses the answer or he knows the answer. The probability that he knows the answer is 0.6. The examiner has found that the candidate has answered the question correctly. Find the probability that the candidate knew the answer, given that he answered it correctly.

There are 8 questions in a paper and a student have to attempt 5 questions. How many ways it can be done if (i) there is no restriction? (ii) first two questions are compulsory. (iii) at least 3 questions are compulsory out of first 5 questions?