Quant Exam > Quant Questions > A bag contains 2 white balls, 3 black balls a...
Start Learning for Free
A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the bag, if at least one black ball is to be included in the draw?
- a)64
- b)128
- c)32
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A bag contains 2 white balls, 3 black balls and 4 red balls. In how ma...
The bag contains 2 White, 3 Black and 4 Red balls.
So, total 9 balls are there in the bag; among them 3 are Black and 6 are non-Black balls.
Three balls can randomly be drawn in (9C3) = 84 ways.
1 Black and 2 non-Black balls can be drawn in (3C1)*(6C2) = 45 ways.
1 non-Black and 2 Black balls can be drawn in (6C1)*(3C2) = 18 ways.
3 Black balls can be drawn in (3C3) = 1 way.
So, three balls drawn in (45 + 18 + 1) = 64 ways will have at least one Black ball among the drawn ones.
Most Upvoted Answer
A bag contains 2 white balls, 3 black balls and 4 red balls. In how ma...
Take this question as : 3 black balls and 6 non-black balls
req = all possible ways to drawn 3 balls - no black ball drawn
= 9C3 - 6C3
= 84 - 20 = 64
follow me for more ;)
req = all possible ways to drawn 3 balls - no black ball drawn
= 9C3 - 6C3
= 84 - 20 = 64
follow me for more ;)
Free Test
FREE
| Start Free Test |
Community Answer
A bag contains 2 white balls, 3 black balls and 4 red balls. In how ma...
Given: A bag contains 2 white balls, 3 black balls and 4 red balls.
To find: In how many ways can 3 balls be drawn from the bag, if at least one black ball is to be included in the draw?
Solution:
Total number of ways of drawing 3 balls from the bag = 9C3 = (9 x 8 x 7)/(3 x 2 x 1) = 84
Let us now calculate the number of ways in which no black ball is drawn.
Number of ways of drawing 3 balls from the 6 non-black balls = 6C3 = (6 x 5 x 4)/(3 x 2 x 1) = 20
∴ Number of ways of drawing at least one black ball = Total number of ways of drawing 3 balls – Number of ways of drawing no black ball
= 84 – 20
= 64
Hence, the correct answer is option (a) 64.
To find: In how many ways can 3 balls be drawn from the bag, if at least one black ball is to be included in the draw?
Solution:
Total number of ways of drawing 3 balls from the bag = 9C3 = (9 x 8 x 7)/(3 x 2 x 1) = 84
Let us now calculate the number of ways in which no black ball is drawn.
Number of ways of drawing 3 balls from the 6 non-black balls = 6C3 = (6 x 5 x 4)/(3 x 2 x 1) = 20
∴ Number of ways of drawing at least one black ball = Total number of ways of drawing 3 balls – Number of ways of drawing no black ball
= 84 – 20
= 64
Hence, the correct answer is option (a) 64.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the bag, if at least one black ball is to be included in the draw?a)64b)128c)32d)None of theseCorrect answer is option 'A'. Can you explain this answer?
Question Description
A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the bag, if at least one black ball is to be included in the draw?a)64b)128c)32d)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the bag, if at least one black ball is to be included in the draw?a)64b)128c)32d)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the bag, if at least one black ball is to be included in the draw?a)64b)128c)32d)None of theseCorrect answer is option 'A'. Can you explain this answer?.
A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the bag, if at least one black ball is to be included in the draw?a)64b)128c)32d)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the bag, if at least one black ball is to be included in the draw?a)64b)128c)32d)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the bag, if at least one black ball is to be included in the draw?a)64b)128c)32d)None of theseCorrect answer is option 'A'. Can you explain this answer?.
Solutions for A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the bag, if at least one black ball is to be included in the draw?a)64b)128c)32d)None of theseCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the bag, if at least one black ball is to be included in the draw?a)64b)128c)32d)None of theseCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the bag, if at least one black ball is to be included in the draw?a)64b)128c)32d)None of theseCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the bag, if at least one black ball is to be included in the draw?a)64b)128c)32d)None of theseCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the bag, if at least one black ball is to be included in the draw?a)64b)128c)32d)None of theseCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the bag, if at least one black ball is to be included in the draw?a)64b)128c)32d)None of theseCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup