mathsprobabilty(urgently needed)
posted by anoynomous .
A box contains 5 red balls and 6 black balls. in how many ways can 6 balls be selected so that there are at least two balls of each color?

mathsprobabilty(urgently needed) 
shweta
please give answer

mathsprobabilty(urgently needed) 
Milan
i) 2 red,4 black => C(5,2)*C(6,4) =150
ii)3 red,3 black => C(5,3)*C(6,3) =200
iii)4red,2 black => C(5,4)*C(6,2) =75
Therefore total number of ways =
150+200+75 = 425 ways
Hope this helps! Cheers! :)
Respond to this Question
Similar Questions

Probability again
A box contains 6 red balls, 4 blue balls, and 2 green balls. Three balls are randomly drawn (without replacement) from the box. What is the probability that the three balls selected are all the same color? 
Math
my problem is: From the box containing 5 red balls, 7 blue balls, 10 black balls. you select 4 balls what is the probabilty that EXACTLY 2 balls are black. so i know how to start it c(10,2)c(2,1)  c(22,40 but how do you solve … 
Math
my problem is: From the box containing 5 red balls, 7 blue balls, 10 black balls. you select 4 balls what is the probabilty that EXACTLY 2 balls are black. i know that you start it/set it up like this: c(10,2)c(2,1) divided by c(22,4) … 
statistics
A box contains 3 white and 5 black balls. Four balls are drawn at random "with replacement" from the box (i.e. selected balls are returned to the box and mixed, before drawing the next ball). Let X be the number of black balls drawn. … 
mathsprobabilty
A box contains 5 red balls and 6 black balls. in how many ways can 6 balls be selected so that there are at least two balls of each color? 
d
given piles of identical red, blue and green balls where each pile contains at least 10 balls, how many ways can 10 balls be selected such that exactly two green balls are selected and at most one red ball is selected? 
Math
A box containing 20 yellow balls, 9 red balls and 6 blue balls. If the balls are selected at random, what is the smallest number of balls that need to be selected so you will select at least two balls of each colour 
Math
A bag contains three black balls, four white balls and five red balls. Three balls are removed without replacement. What is the probability of obtaining a one of each colour b at least two red balls ? 
Math
A bag contains 33 balls: 10 blue 11 red and 12 green If a person will select balls at random from the bag without replacement, what is the minimum number of balls needed to be selected in order to be sure that the balls selected include … 
maths
a box contains 5 red balls and 6 black balls in how many ways can 6 balls be selected so that there are atleast two balls of the same colour