Permutation and CombinationHard
Question
Number of words that can be made with the letters of the word ″GENIUS″ if each word neither begins with G nor ends in S, is
Options
A.24
B.240
C.280
D.504
Solution
First we have to find all the arrangements of the word ′GENIUS′ is
6 ! = 720
number of arrangement which in either started with G ends with S is
(5! + 5! - 4!) = (120 + 120 - 24)= 216
Hence total number of arrangement which is neither started with G nor ends with S is.
(720 - 216) = 504
6 ! = 720
number of arrangement which in either started with G ends with S is
(5! + 5! - 4!) = (120 + 120 - 24)= 216
Hence total number of arrangement which is neither started with G nor ends with S is.
(720 - 216) = 504
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