UrbanPro

Take Class 12 Tuition from the Best Tutors

  • Affordable fees
  • 1-1 or Group class
  • Flexible Timings
  • Verified Tutors

From 4 officers and 8 jawans, In how many ways can 6 be chosen so as to essentially include at least one officer ?

Asked by Last Modified  

Follow 0
Answer

Please enter your answer

Math Educator for Std.11th ,12th , Engineering Entrance and Degree Level with 11+ Years Experience

total number of ways for selecting 6 persons out of 8 officers and 4 jawans are (i) 1 Officer and 5 jawans (ii) 2 Officers and 4 jawans (iii) 3 Officers and 3 jawans (iv) 4 Officers and 2 jawans 4C1. 8C5 + 4C2.8C4 + 4C3.8C3 + 4C4.8C2 = 224 + 420 + 224 + 28 = 896
Comments

Tutor

The required cases of at least one officer = total cases - cases having only jawans = 12C6 - 8C6 = 924 - 28 = 896.
Comments

Trainer

Solution: (4C1 x 8C5) + (4C2 x 8C4)+(4C3 x 8C3)+(4C4 x 8C2) ways
Comments

Aptitude for Placement, Bank, B. Tech Subjects, M. Tech subjects and Projects (ECE, CSE, IT, EEE), Net for ELectronics

12C6 - 8C6
Comments

224
Comments

12C6 - 8C6
Comments

Native English Speaker with 32 years experience in teaching English and communication skills.

12c6 - 8c6 = 896
Comments

Trainer

896
Comments

GMAT Math Expert

12C6 - 8C6
Comments

GMAT Math Expert

12C6 - 8C6.. 1st I have selected 6 people out of 12 people (4 officers and 8 jawans) in 12C6 ways. We can select all 6 Jawans in 8C6 ways. However, we want atleast one officer. So it's 12C6-8C6 ways.
Comments

View 13 more Answers

Related Questions

Why you have not allow to tutor to choose multiple classes categories i.e. from 6 to 12th?
The taste of each fruit is different because it is create in different environment. Similarly, each and every person are expert in a particular field in which they completed his education and acknowledge their ability.
Pankaj
Which book I can refer for 11th and 12th physics for ISC?
XI physics book by S chand publication author Vivekanandan and Banerjee XII physics book by V N Shukla.
Ganeshan G

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

Ask a Question

Related Lessons

Integration by trig substitution
Let's solve one more trig problem using trig substitution. ∫ 5/√(x² - 5 ) dx as variable x precedes constant inside the radical sign we may have substitute x = √5 sec u Let x...

What Are The Two Sources Of Stockholders' Equity?
The two basic sources of stockholders’ equity are: Contributed Capital Retained Earnings i. Contributed Capital: One of the two main sources of stockholders’ equity is contributed capital....
K

Khushboo B.

1 0
0

Solution to a trigonometric problem requested by one student
∫ sin² x /( 1+ cos x ) dx Let's multiply both numerator and denominator by ( 1 - cos x ) = ∫ sin² x • ( 1 - cos x ) / ( 1 + cos x ) • ( 1 - cos x ) dx = ∫ sin²...

Lesson 1: Multiplication Trick: Multiply Quickly Without Any Error
Vedic Maths: Multiplication tips and tricks Introduction : Founder of Vedic maths is Swami Bharti Krishna Tirath jee Maharaj who was a great saint. With the help of these tri Nikhilam Sutra(Base...

Introduction to Chess
Chess is a game played on 64 square board which is a combination of two colours, usually black and white (nowadays different colours chess boards are available like green and white, yellow and brown). The...

Deleted User

0 0
0

Recommended Articles

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 >

Urmila is a passionate teacher with over 8 years of experience in teaching. She is currently pursuing her Ph. D. She provides classes for Class 11, Class 12, MBBS and Medical tuition.  Urmila began her career in teaching long before she became a teacher. She used to provide classes for foreign national students in her college...

Read full article >

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 >

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 >

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
X

Looking for Class 12 Tuition Classes?

The best tutors for Class 12 Tuition Classes are on UrbanPro

  • Select the best Tutor
  • Book & Attend a Free Demo
  • Pay and start Learning

Take Class 12 Tuition with the Best Tutors

The best Tutors for Class 12 Tuition Classes are on UrbanPro

This website uses cookies

We use cookies to improve user experience. Choose what cookies you allow us to use. You can read more about our Cookie Policy in our Privacy Policy

Accept All
Decline All

UrbanPro.com is India's largest network of most trusted tutors and institutes. Over 55 lakh students rely on UrbanPro.com, to fulfill their learning requirements across 1,000+ categories. Using UrbanPro.com, parents, and students can compare multiple Tutors and Institutes and choose the one that best suits their requirements. More than 7.5 lakh verified Tutors and Institutes are helping millions of students every day and growing their tutoring business on UrbanPro.com. Whether you are looking for a tutor to learn mathematics, a German language trainer to brush up your German language skills or an institute to upgrade your IT skills, we have got the best selection of Tutors and Training Institutes for you. Read more