A selection committee is to be chosen consisting of 5 ex-technicians. Now there are 12 representatives from four zones. It has further been decided that if Mr. X is selected, Y and Z will not be selected and vice-versa. In how many ways it can be done?

Asked by Last Modified  

9 Answers

+2 Mathematics Permutations

Follow 0
Answer

Please enter your answer

Physics Expert

Answer = 12(C)5 - 3*9(C)4 - 6*9(C)3 - 9(C)2 12(C)5 represent the number of ways to select 5 things out of 12 things. 12(C)5 = total possible ways to select 5 out of 12 9(C)4 = total possible ways to select group such that only one from X,Y,Z must be there. so multiplied by 3 because 3 cases possible...
read more
Answer = 12(C)5 - 3*9(C)4 - 6*9(C)3 - 9(C)2 12(C)5 represent the number of ways to select 5 things out of 12 things. 12(C)5 = total possible ways to select 5 out of 12 9(C)4 = total possible ways to select group such that only one from X,Y,Z must be there. so multiplied by 3 because 3 cases possible (X, Y, Z)+ other 4 people from 12-3=9 person 9(C)3 = total possible ways to select group such that only two from X,Y,Z must be there. so multiplied by 3 because 3 cases possible (XY, YZ, ZX)+ other 3 people from 12-3=9 person. 9(C)2= all X,Y,Z must be there. (from 12-3 =9 we need to take 2 more people) Answer = Total cases - Not desired case read less
Comments
Dislike Bookmark

10C5: when both are not included. 10C4: when one of them is included. Number of ways = 10C5 +10C4+ 10C4 = 672
Comments
Dislike Bookmark

MATHS TEACHER

672
Comments
Dislike Bookmark

Expert

672
Comments
Dislike Bookmark

Trainer

672
Comments
Dislike Bookmark

588
Comments
Dislike Bookmark

MSc.,BEd

Every action has equal and opposite reaction
Comments
Dislike Bookmark

IIT Kanpur Graduate

If X is chosen 9C4, If X is not Chosen 11C5=> 9C4+11C5 = 588
Comments
Dislike Bookmark

Assistant Professor

588
Comments
Dislike Bookmark

View 7 more Answers

Related Questions

What are the career options after 12th science PCM?
Bachelor Master and PhD
Bimal
Three men in a cafe order a meal the total cost of which is Rs1500. They each contribute Rs500. The waiter takes the money to the chef who recognizes the three as friends and asks the waiter to return Rs500 to the men. The waiter is not only poor at mathematics but dishonest and instead of going to the trouble of splitting the Rs500 between the three he simply gives them Rs100 each and pockets the remaining Rs200 for himself. Now, each of the men effectively paid Rs400, the total paid is therefore Rs1200. Add the Rs200 in the waiters pocket and this comes to Rs1400.....Where has the other rs100 gone from the original rs1500?
The actual amount paid by the three men here is Rs 1200 as each of them contributed Rs 400. Out of this money the chef has taken Rs 1000 and the waiter pocketed Rs 200. Thus the calculation matches.
Dr Harshad Patel
Substances having electrical resistivity intermediate between conductors and insulators are called __________.
Semiconductor
Narendra Kumar
What is virtual class in oops?
In object-oriented programming, a virtual class is a nested inner class whose functions and member variables can be overridden and redefined by subclasses of the outer class. Virtual classes are analogous...
Unknown
0 0
9
If the gas in a cylinder is used up, does it mean that there is now vacuum inside or air inside the cylinder?
Nobody can use all the gas of the cylinder..Gas is pressurized in the cylinder and as we switch on the burner it comes in the contact with the atmosphere which causes pressure gradient (pressure inside...
Rohit
0 0
8

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

How to get better Grades?
Two things - determination and dedication should be a part of your life.Study for you and your goals.Study for your parents they are spending bucks.Do not think of harwards, PhDs, majors. Forget the word...
K

Kushal Sharma

0 0
0
Introduction To Partnership Firms
Fundamentals of partnership: A partnership comes into existence by an agreement. This agreement can be verbal or written. When two or more individuals enter into a partnership and sign a written agreement...

Srishti Agrawal

1 0
0
How To Study Effectively?
HOW TO STUDY EFFECTIVELY? Proper, Planning, Prevents, Poor, Performance There are a variety of study systems available, but all are organized in basically the same way and are designed to accomplish...

Aswathi V.

1 0
0
PRACTISE makes you PERFECT ; ; ; There is no SUBSTITUTE for HARD WORK ;;;;Breathe SUCCESS like OXYGEN
Proper Planning ( reg what portions to be covered today) revising today's class portions & clarifying doubts solving Maths problems regularly ,noting down formulae separately trying to understand...

Kiruthika S.

1 0
0
Method of Mathematical Induction
Method of Mathematical Induction ******************************* In Mathematical Induction, first we prove it for n=1. Then assume it to work for n=k. Prove that it works for n=k+1. For example let...

Kumaresh Natarajan

0 0
0

Recommended Articles

Meet Radhe Shyam Burman, an MBA Tutor from...

Radhe Shyam is a highly skilled accounts and finance trainer with 8 years of experience in teaching. Accounting is challenging for many students and that’s where Radhe Shyam’s expertise comes into play. He helps his students not only in understanding the subject but also advises them on how to overcome the fear of accounts...

Read full article >

Meet Raghunandan.G.H, a B. Tech Tutor from...

Raghunandan is a passionate teacher with a decade of teaching experience. Being a skilled trainer with extensive knowledge, he provides high-quality BTech, Class 10 and Class 12 tuition classes. His methods of teaching with real-time examples makes difficult topics simple to understand. He explains every concept in-detail...

Read full article >

Meet Swati, a Hindi Tutor from Bangalore

Swati is a renowned Hindi tutor with 7 years of experience in teaching. She conducts classes for various students ranging from class 6- class 12 and also BA students. Having pursued her education at Madras University where she did her Masters in Hindi, Swati knows her way around students. She believes that each student...

Read full article >

Meet Mohammad Wazid, a skilled trainer for...

Mohammad Wazid is a certified professional tutor for class 11 students. He has 6 years of teaching experience which he couples with an energetic attitude and a vision of making any subject easy for the students. Over the years he has developed skills with a capability of understanding the requirements of the students. This...

Read full article >

Find Class 12 Tuition near you
Class 12 Tuition in Delhi
Class 12 Tuition in Bangalore
Class 12 Tuition in Hyderabad
Class 12 Tuition in Chennai
Class 12 Tuition in Kolkata
Class 12 Tuition in Mumbai
Class 12 Tuition in Pune
Class 12 Tuition in Noida
Class 12 Tuition in Gurgaon
Class 12 Tuition in Lucknow
Online Tuition Class 12

Looking for Class 12 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you