Question
Sat September 28, 2013 By: Archana Venkatesan

how can the letters of the word 'STRANGE' be arranged so that

Expert Reply
Sat September 28, 2013
There are 5 consonants and 2 vowels in the word STRANGE.
Out of 7 places for the 7 letters, 4 places are odd and 3 places are even.
 
2 vowels can be arranged in 4 odd places in P (4, 2) ways = 12 ways
and then 5 consonants can be arranged in the remaining 5 places in 5! ways = 5 × 4 × 3 × 2 × 1 = 120 ways
 
Hence, the required number of ways = 12 × 120 = 1440
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