If 30 dictionaries in the Library contain a total of 61327 pages, then show that
one of the dictionaries has at least 2045 pages
Answers
Answered by
6
Answer:
61327/30= 2044.23333333
i.e 2045 pages
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Answered by
2
Total number of dictionaries = 30 ( given)
Total number of pages of 30 dictionaries = 61327 ( given)
Pigeons=61,327, holes=30.
Let's apply the generalized P-H principle: –
At least one of the holes have more than floor((61,327-1)/30)+1 pigeons=2045 pigeons.
∴one dictionary contains = 61327 ÷ 30 = 2044.23333pages.
let's consider at least one of the Dictionaries has more than ( 2044.233 +1) pages.
In this case at least one of the Dictionaries has less than (2044.233-1) pages.
Ans:- At least one dictionary among 30 can has 2045 pages, yes it is possible.
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