mathmath333
  • mathmath333
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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mathmath333
  • mathmath333
\(\large \color{black}{\begin{align} & \normalsize \text{A box contains five set of balls while there are three balls in each set.}\hspace{.33em}\\~\\ & \normalsize \text{Each set of balls has one colour which is different from every other set.}\hspace{.33em}\\~\\ & \normalsize \text{What is the least number of balls that must be removed from the box in }\hspace{.33em}\\~\\ & \normalsize \text{order to claim with certainty that a pair of balls of the same colour has }\hspace{.33em}\\~\\ & \normalsize \text{been removed.}\hspace{.33em}\\~\\ \end{align}}\)
mathmath333
  • mathmath333
\(\large \color{black}{\begin{align} & a.)\ 6 \hspace{.33em}\\~\\ & b.)\ 7 \hspace{.33em}\\~\\ & c.)\ 9 \hspace{.33em}\\~\\ & d.)\ 11 \hspace{.33em}\\~\\ \end{align}}\)
mathmath333
  • mathmath333
i am not even able to interpret the question

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More answers

hartnn
  • hartnn
wouldn't it just be 6?? think of the best case!
anonymous
  • anonymous
condition on the color...
hartnn
  • hartnn
you draw 5 balls from 5 different sets. whichever ball you choose next, will repeat the color
mathmath333
  • mathmath333
answer given in book is d.) 11
hartnn
  • hartnn
trust on yourself more than the book :)
anonymous
  • anonymous
"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
  • ganeshie8
imagine you have 10 black balls and 5 other balls have different colors |dw:1441043358114:dw|
mathmath333
  • mathmath333
ok
anonymous
  • anonymous
question is poorly phrased
anonymous
  • anonymous
... if the answer is indeed 11
ganeshie8
  • ganeshie8
if you put ur hand inside the box and randomly take one ball, there is a chance that you get a black ball, yes ?
mathmath333
  • mathmath333
yes
ganeshie8
  • ganeshie8
throw 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 ?
mathmath333
  • mathmath333
yes there is
ganeshie8
  • ganeshie8
why no there are still 9 more black balls in the box
mathmath333
  • mathmath333
yes there is a chance.
ganeshie8
  • ganeshie8
if you take out 10 balls, it can so happen that you get all 10 black balls, yes ?
ganeshie8
  • ganeshie8
but if you take out 11 balls, can you be certain that at least one ball is different from black ?
mathmath333
  • mathmath333
yes
mathmath333
  • mathmath333
yes
ganeshie8
  • ganeshie8
if you're clever enough, you could also use pigeon hole principle and work it more formally
mathmath333
  • mathmath333
what is the meaning of this line , Each set of balls has one colour which is different from every other set
ganeshie8
  • ganeshie8
|dw:1441043775878:dw|
ganeshie8
  • ganeshie8
look 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
  • ganeshie8
the wording in the question is indeed confusing i have just cooked up the solution to match the answer by reverse engineering sortof..
mathmath333
  • mathmath333
yes thnks
ganeshie8
  • ganeshie8
they wont ask such poorly phrased questions in real tests usually you see them only in practice problems cooked up by careless authors
mathmath333
  • mathmath333
yes 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
  • ganeshie8
Exactly, if you understand the question correctly, then i think its not hard to approach it

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