Home
Class 11
MATHS
Two subjects are compulsory for a studen...

Two subjects are compulsory for a student in an examination. In how many ways can a student select 5 subjects out of given 10 subjects?

Text Solution

AI Generated Solution

To solve the problem of how many ways a student can select 5 subjects out of 10 given subjects when 2 subjects are compulsory, we can follow these steps: ### Step 1: Understand the problem Since 2 subjects are compulsory, they are already included in the selection. Therefore, the student only needs to select 3 additional subjects from the remaining subjects. ### Step 2: Determine the number of remaining subjects Out of the total 10 subjects, after including the 2 compulsory subjects, we have: \[ ...
Promotional Banner

Topper's Solved these Questions

  • PERMUTATION AND COMBINATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise A|9 Videos
  • PERMUTATION AND COMBINATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise B|11 Videos
  • MATHEMATICAL REASONING

    NAGEEN PRAKASHAN ENGLISH|Exercise Misellaneous exercise|7 Videos
  • PRINCIPLE OF MATHEMATICAL INDUCTION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 4.1|1 Videos

Similar Questions

Explore conceptually related problems

It is necessary to pass in each subject out of 7 subjects in an examination. In how many ways can a student failed?

In how many ways can 5 subjects be chosen from 9 subjects if three subjects are compulsory?

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 pater 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 students select the questions ?

From a class of 32 students, 4 are to be chosen for a competition. In how many ways can this be done?

It is required to get minimum marks in each subject out of 5 subject to pass in an examination. In how many ways can a student fail?

In Figure, the pie-chart shows the marks obtained by a student in an examination. If the student secures 440 marks in all, calculate his marks in each of the given subjects.

Each sections in first year of plus two course has exactly 30 students . If there are 3 sections. In how many ways can a set of 3 students representatives be selected from each sections?

From a class of 30 student , 3 are to be chosen for a competition . In how many ways can this be done ?

In how many ways can 12 books be divided in 3 students equally?