An examination paper consists of 12 questions diyided in to part A and B. Part A contains 7 questions and part B contains 5 questions. A candidate is required to attempt 8 questions, selecting atleat 3 questions from each part. In how many ways can the candidate select the questions ?

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

In how many ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question.

An instructor has a question bank consisting of 300 easy true /false questions, 200 difficult true/ false question, 500 easy multiply choice questions and 400 difficult multiple choice questions. If a question is selected at random from the test bank , what is the probability that it will be an easy question given that it is a multiple choice question ?

Write the answer of each the question: What is the name fo each part of the plane formed by these two lines ?

Write the answer of each the question: What is the name fo each part of the plane formed by these two lines ?

In an examination there are three multiple choice questions and each questions has 4 choices . Number of ways in which a students can find to get all answers correct is :

In an examination there are three multiple choice questions and each questions has 4 choices . Number of ways in which a students can fail to get all answers correct is :

A solution M is prepared by mixing ethanol and water. The mole fraction of ethanol in the mixture is 0.9 Given: Freezing point depression constant of water (K_(f)^(water)=1.86 K kg mol^(-1)) Freezing point depression constant to ethanol (K_(f)^(ethanol))=2.0 K kg mol^(-1)) Boiling point elevation constant of water (K_(b)^(water))=0.52 K kg mol^(-1)) Boiling point elevation constant of ethanol (K_(b)^(ethanol))=1.2 K kg mol^(-1)) Standard freezing point of water = 273 K Standard freezing point of ethanol = 155.7 K Standard boiling point of water = 373 K Standard boiling point of ethanol = 351.5 K Vapour pressure of pure water = 32.8 mm Hg Vapour pressure of pure ethanol = 40 mm Hg Molecular weight of water = 18 g mol^(-1) Molecular weight of ethanol = 46 g mol^(-1) In anwering the following questions consider the solutions to be ideal dilute solutions and solutes to be non-volatile and non-dissociative. Water is added to the solution M such that the mole fraction of water in the solution becomes 0.9 . The boiling point of this solution is