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You don't say how many colours are available.
In this sort of puzzle it is assumed that you are in the dark and there are X boots of one colur, Y boots of another colour (and maybe Z boots of a third colour).
It is also assumed that you can tell by touch whether a boot is a left or a right..... so with this knowledge let's look at the worst possible scenario.
Whatever boot I pick up first, I need to only pick the opposite foot from then on... so we'll assume that I have picked up a left boot.
Now, I might pick up all the right-foot boots which are not whatever colour I am holding and still not have a pair. I need to pick one more than all the other colours to be sure.
So if there are X black, Y white and Z brown, then we'll need to know which one is the smallest of those numbers. Then we'll assume that that is the colour of the left boot I pick. Then I will need to pick X + Y + 1 right boots to be sure that I have a pair.
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∙ 15y ago
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How many boots must you take in order to be sure you get a pair of boots that match?
This answer varies depending on how many boots exist. If there are 1000 boots, then 1001 are needed to make sure that a pair of boots matches. If there are 100 boots, then 101 are needed etc.3Actually, it would be 13 since you may take out 12 shoes for the left/right foot. Therefore, you need to take out one more!
There are 12 boots how many boots must you take in order to be sure you get a pair of boots that match?
Assuming that "12 boots" means "six pairs of boots all mixed up" - as it must do, because otherwise there would be no guarantee of getting a pair even if you took all 12 - then surely the answer is "seven"? If you take six, it is possible that you could pick eg all of the left boots - but as soon you take a seventh it's guaranteed to match one of the previous ones.
You go to the closet but there is completely dark You know that are 6 pairs of black boots and 6 pairs of brown boots How many boots you must take in order to be sure that you get a pair of boots that?
To get a pair of boots that match, Thirteen. Theoretically you could take out six black left boots and then six brown left ones. The thirteenth will have to be a right boot in either black or brown, so you will have a pair.
How many boots you must take in order to be sure that you get a pair of boots that match if in that room there are 6 pairs of black boots and 6 pairs of brown boots and it's completely dark?
13 would be the answer if you were unable to differentiate between right and left boots. Most people say seven, but this is incorrect (the key word in the sentence is "PAIRS"), meaning that altogether there are 24 boots, and you must take one more than half of them in order to have a guarantee that there will be at least one pair. However, if you are clever a more efficient answer would be 8. First you must separate the boots according to what foot they belong to. If you took 7 from one pile it would ensure that you have both colors for one foot. You would only need to take 1 boot from the other pile to complete at least 1 pair.
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