Suppose there are a total 195 sovereign nations in the world among which 56 nations have fought for freedom. Those 56 nations have their own independence day. i. What is the probability that all 56 freedom fighter nations have different Independence days? [Assume that there are always 365 days in a year]   ii. What is the probability that at least 2 nations have the same independence day?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Suppose there are a total 195 sovereign nations in the world among which 56 nations have fought for freedom. Those 56 nations have their own independence day.

i. What is the probability that all 56 freedom fighter nations have different Independence days? [Assume that there are always 365 days in a year]
 
ii. What is the probability that at least 2 nations have the same independence day?
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