UrbanPro

Take Class 12 Tuition from the Best Tutors

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

A box contains 12 balls out of which 7 are red and rest are green. In how many ways can a random sample of 8 balls be drawn from the bag so that at the most 3 red balls are included in the sample and no sample has all the 8 balls of the same colour?

Asked by Last Modified  

Follow 1
Answer

Please enter your answer

Tutor

7C3*5C5 =( 7!/3!*(7-3)! ) / 1 = 7*6*5*4! /3!*4! = 7*5 =35
Comments

Working for better future of India

7C3*5C5=35
Comments

Expert Mathematics teacher and tutor

It is not possible for all 8 balls to be of same color. Max 3 red and rest free = (7C3×5C5)!+ Max of 2 red balls=(7C2×5C6) not possible. Ans 7C3×5c5 random samples.
Comments

Mathematica Aim Delta

Check out the attachments
Comments

Path founder

35
Comments

Math Magician

There are total 12 balls out of which 7 are red and 5 are green. This statement itself says the possibility of all 8 to be of same colour is nil. And to have at most 3 red, we require at least 5 green but we have only 5 green, this leave us with only one combination that is with 3 red and 5 green. No....
read more
There are total 12 balls out of which 7 are red and 5 are green. This statement itself says the possibility of all 8 to be of same colour is nil. And to have at most 3 red, we require at least 5 green but we have only 5 green, this leave us with only one combination that is with 3 red and 5 green. No. of samples= (7!/3!4!)*(5!/5!1!) =35 read less
Comments

1 way
Comments

Perfectionist

This question is too trivial. Answer: (7C3)x(5C5)=21. Replace 'atmost' with 'atleast' in the question. Then the solution will be (7C3)x(5C5)+(7C4)x(5C4)+ (7C5)x(5C3)+(7C6)x(5C2)+(7C7)x(5C1).
Comments

Experienced Mathematics com ECE Educator

7C3*5C5= 35*1=35. there are 35 possible ways
Comments

Tutor

7C3*5C5= 35,since 6 balls cannot be choosen form 5 balls and even more hence 35 is correct answer
Comments

View 8 more Answers

Related Questions

what are direction cosines?
The direction cosines of a vector are the cosines of the angles between the vector and the three coordinate axes. Or equivalently it is the component contributions of the basis to the unit vector.
Ravi Ranjan
0 0
5
A company has a loan of Rs.15,00,000 as part of its capital employed. The interest payable on Loan is 15% and the ROI of the company is 25%. The rate of income tax is 60%. What is the gain to shareholders due to the loan raised by the company?
ROI = EBIT/ Capital EmployedEBIT = ROI × Capital Employed = 25% × 20,00,000 = 5,00,000 Intrest = 20,00,000 × 15% = 3,00,000 Shareholders Gain = EAT ( Earning After Tax) = (EBIT - Intrest)...
Nazia
0 0
7

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

Ask a Question

Related Lessons


Partnership Firm and its features-Class 11,Class 12,HSC-OC,Class 9
What is a partnership firm and what are its features? - NCERT - Std XIth, Business Studies ICSE - Std IXth, Commercial Studies State Board - Std XIIth, OCM

Introduction To Accounting: Part 18: Revenue Recognition Concept Or Realisation Concept
According to the Revenue Recognition Concept, revenue is considered to have been realised when a transaction has been entered into and the obligation to receive the amount has been established. It...

Chemistry- Lewis Concept Of Acids And Bases.
Explain the Lewis concept of acids and bases.A Lewis acid is, therefore, any substance, such as the H+ ion, that can accept a pair of nonbonding electrons. In other words, a Lewis acid is an electron-pair...

Introduction to physics
The nature around us is very colourful and diverse. Physics is the study of nature and its laws.Physics is an experimental science: Physicists observe the phenomena of nature and try to find patterns that...

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 >

Sandhya is a proactive educationalist. She conducts classes for CBSE, PUC, ICSE, I.B. and IGCSE. Having a 6-year experience in teaching, she connects with her students and provides tutoring as per their understanding. She mentors her students personally and strives them to achieve their goals with ease. Being an enthusiastic...

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 >

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 >

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