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mathmath333
 one year ago
A box contains five set of balls while there are three balls in each set.
Each set of balls has one colour which is different from every other set.
What is the least number of balls that must be removed from the box in
order to claim with certainty that a pair of balls of the same colour has
been removed
mathmath333
 one year ago
A box contains five set of balls while there are three balls in each set. Each set of balls has one colour which is different from every other set. What is the least number of balls that must be removed from the box in order to claim with certainty that a pair of balls of the same colour has been removed

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mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1\(\large \color{black}{\begin{align} & \normalsize \text{A box contains five set of balls while there are three balls in each set.}\hspace{.33em}\\~\\ & \normalsize \text{Each set of balls has one colour which is different from every other set.}\hspace{.33em}\\~\\ & \normalsize \text{What is the least number of balls that must be removed from the box in }\hspace{.33em}\\~\\ & \normalsize \text{order to claim with certainty that a pair of balls of the same colour has }\hspace{.33em}\\~\\ & \normalsize \text{been removed.}\hspace{.33em}\\~\\ \end{align}}\)

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1\(\large \color{black}{\begin{align} & a.)\ 6 \hspace{.33em}\\~\\ & b.)\ 7 \hspace{.33em}\\~\\ & c.)\ 9 \hspace{.33em}\\~\\ & d.)\ 11 \hspace{.33em}\\~\\ \end{align}}\)

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1i am not even able to interpret the question

hartnn
 one year ago
Best ResponseYou've already chosen the best response.2wouldn't it just be 6?? think of the best case!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0condition on the color...

hartnn
 one year ago
Best ResponseYou've already chosen the best response.2you draw 5 balls from 5 different sets. whichever ball you choose next, will repeat the color

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1answer given in book is d.) 11

hartnn
 one year ago
Best ResponseYou've already chosen the best response.2trust on yourself more than the book :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0"Each set of balls has one colour which is different from every other set." meaning all of the balls in a set have the same color and that the color of each set is distinct? is this english class or probability?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.3imagine you have 10 black balls and 5 other balls have different colors dw:1441043358114:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0question is poorly phrased

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0... if the answer is indeed 11

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.3if you put ur hand inside the box and randomly take one ball, there is a chance that you get a black ball, yes ?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.3throw away that black ball next, put ur hand in box and take out one ball again there is a chance that you get a black ball again, yes ?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.3why no there are still 9 more black balls in the box

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1yes there is a chance.

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.3if you take out 10 balls, it can so happen that you get all 10 black balls, yes ?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.3but if you take out 11 balls, can you be certain that at least one ball is different from black ?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.3if you're clever enough, you could also use pigeon hole principle and work it more formally

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1what is the meaning of this line , Each set of balls has one colour which is different from every other set

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.3dw:1441043775878:dw

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.3look at above partition of 15 balls in the box notice that there are 5 groups each group has at least one ball whose color is different from the colors of balls in all other sets

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.3the wording in the question is indeed confusing i have just cooked up the solution to match the answer by reverse engineering sortof..

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.3they wont ask such poorly phrased questions in real tests usually you see them only in practice problems cooked up by careless authors

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1yes i don't think this can be solve in 1 or 3 minutes with time pressure , 1 hour will be wasted only to understand the question

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.3Exactly, if you understand the question correctly, then i think its not hard to approach it
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