GATE | Gate IT 2008 | Question 22

What is the probability that in a randomly chosen group of r people at least three people have the same birthday?
(A) A
(B) B
(C) C
(D) D

Answer: (C)

Explanation: <!–Atleast 3 persons have same birthday
=> 1-(2 persons have same birthday + no one has same birthday)
=1-[365*364* ………..*(365-(r-1))/365r]-rC2365[364*363*…….*365-(r-2))/364(r-2)]–>


This solution is contributed by Anil Saikrishna Devarasetty

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