Latest Book Aptitude Question SOLUTION: in a room there are 7 person,the chance that two of them were born on the same day of the week is.

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(#M40040217) BOOK Numerical Ability question probability Keep an EYE

in a room there are 7 person,the chance that two of them were born on the same day of the week is.

Asked In Book dhananjay kumar (10 years ago)

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dhananjay kumar  (10 years ago)

first select two person from 7 in 7C2 ways.
select a day which they have to be born in 7C1 ways.
for the remanning 5 people select 5days out of 6days of week and no. of arrangment of these 5 people in 5 days = (7C2*7C1*6C5*5!)ways.
also,7 people born on 7 days whould be 7^7
hence
(7C2*7C1*6C5*5!)/(7^7) =2160/7^5

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Narasapu Hari prasad  (10 years ago)

ans is 7c2*7/5040=147/1716=49/572

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