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In how many ways ORIENTAL word can be arranged


Amey Ghadge 7th Jan, 2020
Answer (1)
jishua thomas 7th Jan, 2020

hello amey,

THERE ARE EIGHT WORDS COME IN WORD ORIENTAL with four vowels (o,i,e and a). bunch up the four vowels to be considered as a single letter. the total arrangements of the letters in the word oriental with the vowel always together is 20*24 equal 2880. Put the vowels together and then note that they are all distinct, so there are 4! ways to arrange them as a group. Then consider the group of vowels as a single letter, I’ll call it V, and then consider what letters remain: RNTLV. Each of these is distinct, so there are 5! ways to arrange these. So all told, there are 4!5!=24*120=2,880 total arrangements.

hope this information was useful to you...

all the best..


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