Home
Class 11
MATHS
There are 10 professors and 20 lecturers...

There are 10 professors and 20 lecturers, out of whom a committee of 2 professors and 3 lecturers is to be formed. Find

Text Solution

Verified by Experts

(i) We have to select 2 professors out of 10 and 3 lecturers out of `20 = ""^(10)C_(2) xx ""^(20)C_(3)`
(ii) When a particular professor included `= ""^(10 -1)C_(1) xx ""^(20)C_(3) = ""^(9)C_(1) xx ""^(20)C_(3)`
(iii) When a particular lecturer included `= ""^(10)C_(2) xx ""^(19)C_(2)`
(iv) When a particular lecturer excluded `= ""^(10)C_(2) xx ""^(19)C_(3)`
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    NCERT EXEMPLAR|Exercise True/False|9 Videos

  • MATHEMATICAL REASONING

    NCERT EXEMPLAR|Exercise OBJECTIVE TYPE QUESTIONS|21 Videos

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    NCERT EXEMPLAR|Exercise OBJECTIVE TYPE QUESTIONS|5 Videos

Similar Questions

Explore conceptually related problems

There are 10 professors and 20 students out of whom a committee of 2 professors and 3 students is to be formed.Find the number of ways in which this can be done.Further find in how many of these committees: A particular professor is included A particular student is included Particular student is excluded

There are 10 professors and 20 students out of whom a committee of 2 professors and 3 students is to be formed.find the number of ways in which this can be done Further find in how many of these committees:

In a department there are two Professors,four Readers and 6Lecturers.A committee of three persons is to be formed out of the staff of the department.The probability that the committee consists of at least two lecturers is

Lecture 10

Questions based on lecture 18 to 20

Statements: Some teachers are proferssors. Some lectures are teachers. Conclusions: I. No proferssor is a lecturer. II. All lecturers being professors is a possibility.

DC-2: Lecture 10

Out of the 12 professors a committee of 5 professors is to be formed . Find the number of ways in which this can be done if 3 particular professors is excluded ?