A bag contains 5 black and 6 red balls


Asked by admin @ in Math viewed by 346 People


Question 8 A bag contains 5 black and 6 red balls. Determine the number of ways in which 2 black and 3 red balls can be selected.

Class X1 - Maths -Permutations and Combinations Page 153

Answered by admin @



A bag contains 5 black and 6 red balls .

number of ways of selection 2 black balls from 5 black balls = 5C2

number of ways of selection 3red balls from 6 red balls = 6C3

a/c to fundamental principle of counting,
total number of selection = 5C2 × 6C3
= 5!/2!(5-3)! × 6!/3!(6-3)!
= 5 × 4/2 × 6 × 5 × 4/6
= 10 × 20
= 200 ways .

Similar Questions

A bag contains 4 red balls and 5 black balls

Asked by admin @ in Math viewed by 332 persons

A bag contains 4 red and 5 black balls. Another bag contains 5 red, 3 black balls. If one ball is drawn at random from each bag. Then the probability …

A bag contains 4 red and 6 black balls

Asked by admin @ in Math viewed by 309 persons

a bag contains 4 red and 6 black balls .a ball is drawn at random from the bag its colour is observed and this ball along with two additional balls …

A bag contains 5 red balls and some blue

Asked by admin @ in Math viewed by 345 persons

A bag contains 5 red balls and some blue balls if the probability of drawing blue ball is double that of red ball then find the number of blue balls …

A bag contains 5 white balls 7 red balls

Asked by admin @ in Math viewed by 307 persons

A bag contains 5 white balls, 7 red balls, 4 black balls and 2 blue balls. One ball is drawn at random from the bag. Find the probability that the …

A bag contains 6 red balls and some blue

Asked by admin @ in Math viewed by 326 persons

A bag contains 6 red balls some blue balls .if the prbablity of drawing a blue ball is twice the probability of drawing red balls find number of blue balls

A box contains 4 red balls and 6 black balls

Asked by admin @ in Math viewed by 362 persons

A box contains 4 red balls and 6 black balls. Three balls are selected randomly from the box one after another, without replacement. The probability that the selected set contains …

A bag contains white black and red balls only

Asked by admin @ in Math viewed by 299 persons

A bag contains white, black and red balls only. A ball is drawn at random from the bag. If the probability of getting a white ball is 3/10 and that …

A bag contains 4 red and 3 black balls

Asked by admin @ in Math viewed by 301 persons

A bag contains 4 red and 3 black balls .a second bag contains 2 red and 3 black balls. one bag is selected at random.if from the selected bag one …

A bag contains 3 red and 7 black balls

Asked by admin @ in Math viewed by 291 persons

A bag contains 3 red and 7 black balls. Two balls are selected at random with replacement. If second selected is given to be red, what is the probability that …

A bag contains 6 black and 8 white balls

Asked by admin @ in Math viewed by 377 persons

A bag contains 6 black and 8 white balls one ball is drawn at random what is the probability that the ball drawn is white

An urn contains 5 red and 2 black balls

Asked by admin @ in Math viewed by 255 persons

an urn contain 5 red and 2 black balls , two balls are randomly drawn without replacement . let x represent number of black ball draw .what are the possible …

A bag contains 6 white and 4 black balls

Asked by admin @ in Math viewed by 289 persons

A bag contains 6 white and 4 black balls. Two balls are drawn at random. The probability that they are of the same colour, is

An urn contains 5 red and 5 black balls

Asked by admin @ in Math viewed by 348 persons

An urn contains 5 red and 5 black balls. A ball is drawn at random, its colour is noted and is returned to the urn. Moreover, 2 additional balls of …

A bag contains 8 red and 5 white balls

Asked by admin @ in Math viewed by 352 persons

A bag contains 5 white and 8 red balls. two drawing of 3 balls are made such that (a) balls are replaced before the second trial (b) the balls are …

A bag contains 5 white and 7 black balls

Asked by admin @ in Math viewed by 329 persons

33. A bag contains 5 white and 7 black balls. Another bag contains 7 white and 8 black balls. A ball is taken at random from the first bag and …

Most viewed questions in Math


What is the value of x in the expression

Asked by admin @ in Math viewed by 15139 persons


Shubham is facing south and moves 30 km

Asked by admin @ in Math viewed by 12984 persons


Prachi excellence in mathematics class 7 solutions pdf free download

Asked by admin @ in Math viewed by 12033 persons



Oxford new enjoying mathematics class 7 solutions chapter 1

Asked by admin @ in Math viewed by 11516 persons


Survey of various types of bank accounts icse project

Asked by admin @ in Math viewed by 11504 persons


The town of p is located at point x

Asked by admin @ in Math viewed by 11358 persons



A clock gains 4 minutes after every 4 minutes

Asked by admin @ in Math viewed by 10164 persons


Running a tuck shop or canteen maths project pdf

Asked by admin @ in Math viewed by 9377 persons


Paul is sixteenth from the front of the row

Asked by admin @ in Math viewed by 9348 persons



The average weight of 20 teachers is 80 kg

Asked by admin @ in Math viewed by 7520 persons


The number 567 xy is completely divisible by 30

Asked by admin @ in Math viewed by 7395 persons


In a row of friends tiya occupies fifteenth place

Asked by admin @ in Math viewed by 7202 persons



What would $ mean if fat is coded as

Asked by admin @ in Math viewed by 5274 persons


Consider a 3 digit integer x with distinct digits

Asked by admin @ in Math viewed by 4801 persons


Rahul went to his mother's mother in law

Asked by admin @ in Math viewed by 4175 persons