Home
Class 12
MATHS
A question paper consists of two section...

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?

Text Solution

Verified by Experts

Here, we have two sections A and B (say), the section A has 3 questions and section B has 5 questions and one question from each section is compulsory, according to the given direction.
`therefore`Number of ways selecting one or more than one question from section A is `2^(3)-1=7`
and number of ways selecting one or more than one questions from section B is `2^(5)-1=31`
Hence, by the principle multiplication, the required number of ways in which a candidate can select the questions.
`=7xx31=217`.
Promotional Banner

Similar Questions

Explore conceptually related problems

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 ?

Answer all the questions each question carries one mark. How does the volume change on mixing two volatile liquids to form an ideal solutions?

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 :

Use the bar graph given below to answer the following questions: How many students have dog as a pet? ,

In each of the following questions, there are two statements. State if the second is the negation of the first or not. (iii) All elephants are huge. One elephant is not huge.

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 ?

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

The sale of electric bulbs on different days of a week is shown below: Obseve the pictograph and answer the following questions : (e) If one big carton can hold 9 bulbs. How many cartons were needed in the give week ?