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Different words are formed by arranging ...

Different words are formed by arranging the letters of the word 'SUCCESS'
Q. the number of words in which no two C's and no two S's are together, is

A

42

B

40

C

420

D

480

Text Solution

Verified by Experts

The correct Answer is:
A
Total number of ways=`(7!)/(2!3!)=420`
Consonants in SUCCESS are S,C,C,S,S
Number of ways arranging consonants=`(5!)/(2!3!)=10`
Hence, number of words in which consonants appear in alphabetic order=`(420)/(10)=42`
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