Latest self Aptitude Question SOLUTION: In how many ways letters of the word SOOTHSAYER be arranged so that two S's and O's come together?

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(#M40030559) SELF question Keep an EYE

In how many ways letters of the word SOOTHSAYER be arranged so that two S's and O's come together?

Sakshi (10 years ago)

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Disha  (10 years ago)

Since there are two S and Two O together therefore we can consider there are only 8 letters which can be permuted in
8!x2!x2!/2!x2!=8!=40320

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Harekrushna Sahoo  (10 years ago)

there are 10 letters and we need to take 2 Os and 2 Ss together so all the letters become as 8.
for 8 letters permutation is 8!
and for 2 Os 2!
and for 2 Ss 2!
so the ans is 8!*2!*2!=161280

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VUTCHULA NAVYA SRI  (10 years ago)

given word SOOTHSAYER consists 2 s's and 2 o's and total letters are 10. The total possible ways for arrangement taken all the letters at a time is 10!/2!*2!=907200. let E be the event of forming 2 s's and o's get together. The number of favourable cases for event E is 6!/2!*2!=180. p(E)=180/907200=1.98412*10^-4

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naagar  (10 years ago)

since two S's and 2 O's come together so it will come as following..
7c1*6!*2!*2!..

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