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CBSE Class 10 Answered

A postman has to deliver five letters to give different houses. Mischievously, he posts one letter through each door without looking to see if it is the correct address. In how many different ways could be do this so exactly two of the five houses receive the correct letters?
Asked by vikasg13.hardware | 17 Jun, 2018, 07:51: AM
answered-by-expert Expert Answer
begin mathsize 16px style choose space 2 space correct space houses space in space straight C presuperscript 5 subscript 2 space ways equals 10 space ways
now space the space rest space three space houses space shouldn apostrophe straight t space receive space the space correct space letters
ex comma space houses space straight A space straight B space straight C
letters space straight a space straight b space straight c
the space only space way space to space do space this space is
straight b space straight c space straight a
straight c space straight a space straight b
rest space all space will space have space atleast space one space letter space going space to space correct space house
so space 2 space ways
total space 10 cross times 2 equals 20 space ways
end style
Answered by Arun | 18 Jun, 2018, 12:19: PM
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