Give an answer and an explanation for the following question A large barrel is f

Question

Give an answer and an explanation for the following question A large barrel is filled with 14 different kinds of fruit. At least how many individual fruits must you remove from the barrel (without looking) to be certain that you have two of the same fruit? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. You must remove at leastindividual fruits, since it is possible that you will remove a different fruit each time you remove a fruit from the barrel B. You must remove 2 individual fruits, since it is possible that you will remove the same fruit twice in a row.

Explanation / Answer

There are 14 different kinds of fruits in the barrel so there is a possibility that you get different kind of fruits every time for 14 steps. So you need to remove atleast 15 fruits from the barrel so that there are atleast 2 same fruits of same kind(Pigeonhole principle). So the correct answer is option A with entry= 15.

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