In how many ways ORIENTAL word can be arranged
Answer (1)
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.
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all the best..
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