A box contains 2 white balls,3 black balls and 4 red balls.In how many ways can three balls can be drawn from the box atleast one black ball is to be included in the draw?64483296 (2024)

Solve

Guides

You visited us 0 times! Enjoying our articles? Unlock Full Access!

A

32

B

48

C

64

D

96

Open in App

Solution

Verified by Toppr

2White balls

3 Black balls

4 Red balls

Three balls aredrawn

Total possiblecombination

9P3

Combination withoutblack

2C2×4C1+2C1×4C2+4C3

The combination withatleast one black

9×8×73×2×1[1×4+2×122+4]12(7)[20]8420=64

64 Combinationinclude atleast one black

Hence the correctanswer is 64

Was this answer helpful?

61

Similar Questions

Q

1

A box contains 2 white balls,3 black balls and 4 red balls.In how many ways can three balls can be drawn from the box if atleast one black ball is to be included in the draw?

View Solution

Q

2

A box contains 2 white balls, 3 black balls & 4 red balls.In how many ways can 3 balls be drawn from the box if atleast 1 black is to be included in the draw?

View Solution

Q

3

A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box if at least one black ball is to be included in the draw?

View Solution

Q

4

A box contains 2 white, 3 black and 4 red balls.(Balls are of different sizes). In how many ways can 3 balls be drawn from the box if atleast one black ball is to be included in the draw?

View Solution

Q

5

A box contained 2 white balls , 3 black $ 4 red balls . In how many ways can three balls be drawn from the box if atleast one black ball is to be included in draw (the balls of the same colour are different).

View Solution

A box contains 2 white balls,3 black balls and 4 red balls.In how many ways can three balls can be drawn from the box atleast one black ball is to be included in the draw?64483296 (2024)
Top Articles
Latest Posts
Article information

Author: Sen. Emmett Berge

Last Updated:

Views: 6042

Rating: 5 / 5 (80 voted)

Reviews: 95% of readers found this page helpful

Author information

Name: Sen. Emmett Berge

Birthday: 1993-06-17

Address: 787 Elvis Divide, Port Brice, OH 24507-6802

Phone: +9779049645255

Job: Senior Healthcare Specialist

Hobby: Cycling, Model building, Kitesurfing, Origami, Lapidary, Dance, Basketball

Introduction: My name is Sen. Emmett Berge, I am a funny, vast, charming, courageous, enthusiastic, jolly, famous person who loves writing and wants to share my knowledge and understanding with you.