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

Experienced Mathematics com ECE Educator

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

Mathematica Aim Delta

Check out the attachments
Comments

Path founder

35
Comments

Tutor

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

View 8 more Answers

Related Lessons

Introduction To Accounting: Part 1: Need For Accounting
Whenever we start doing business, a number of transactions take place. For example, if we start a business of say, a book store (i.e. we’ll be buying books from wholesalers and publishers, and selling...

Electrostatics
Sometimes children play with the comb which attracts pieces of paper. We should know about the charges which are at rest in order to understand the reasons behind this phenomenon. Many things like a...

Prime Numbers
A prime number is the positive integer. (Besides ) which is divisible by 1 and itself. Examples: 2, 3, 5, 7, 11, 13, 17, 23, 29 etc. A number which is not prime is called a composite...
M

Mohit S.

1 0
0

How to Pass Entries under GST Regime?
How to Pass Entries under GST Regime: Under the new GST Regime all these taxes (excise, VAT, CST, Service tax, Entry Tax) will get subsumed into one account and assesse will get benefit of setting of...
F

Calculus
Following are the formulas used for differentiation(d/dx) (x^n) = nx^(n-1)(d/dx) (e^x) = e^x(d/dx) (logx) = 1/x(d/dx) (sinx) = cosx(d/dx) (cosx) = -sinx(d/dx) (tanx) = sec^2 x(d/dx) (cotx) = -cosec^2x(d/dx)...
C

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