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The audience consisted of 1096 people. How many people can we guarantee that they have the...

The audience consisted of 1096 people. How many people can we guarantee that they have the same birthday (day and month)?

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here from Pigeonhole principle rule, if there are a holes and b objects needs to be placed in them. then one of the holes will have at least Γ b/a ˥ objects

from above number of holes or days in a year =365

and number of objects (persons )=1096

therefore number of people one can guarantee that they have the same birthday =Γ 1096/365 ˥

=Γ 3.002 ˥ =4

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