A candidate is required to answer 7 questions out of 12 questions which are divided into two groups, each containing 6 questions, He is not permitted to attempt more than 5 questions from either group. Find the number of different ways of selecting required number of questions.

A mathematics paper consists of 10 questions divided into two parts I and II, each part containing 5 questions. A student is required to attempt 4 questions in all, taking at least 2 questions from each part. In how many ways can the student select the questions ?

In an examination, a question paper consists of 12 questions divided into two parts i.e., Part I and Part II, containing 5 and 7 questions, respectively. A student is required to attempt 8 questions in all, selecting at least 3 from each part. In how many ways can a student select the questions ?

In an examination, a question paper consists of 12 questions divided into parts i.e. Part I and Part II, containing 5 and 7 questions respectively. A student is required to attempt 8 questions, selecting at least 3 from each part.In how many ways can a Student select the questions ?

A question paper has two parts: Part A and Part B. each part containing ten questions. If the student has to choose 8 questions form part A and 5 questions from part B. In how many ways can he choose the questions?

A question paper consists of two sections having respectively 3 and 4 questions. The following note is given on the question paper : "It is not necessary to attempt all the questions. One question from each part is compulsory.”’ In how many ways Can a candidate select the questions ?

A question paper consists of two sections having respectively, 3 and 5 questions. The followinng note is given on the paper "it is not necessory to attempt all the questions one questions from each section is compulsory". In how many ways can candidate select the questions?

A student is to answer 10 out of 13 questions in an examination such that he must choose at least 4 from the first five questions. The number of choices available to him is :

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.

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.