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Q.

The letters of the word ''SUCCESS'' are arranged in a row at random. The probability that no two S's come together is

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a

17

b

27

c

37

d

130

answer is B.

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Detailed Solution

S U C C E S S n(S)=7!3!2!first arrange the letters U C C E  in a line . This can be done in 4!2!ways . Now we can arrange the S S S in the blanks inbetween them in 5p 33! waysn(A)=4!2!×5p 33!P(A)=27
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