MHB Rank & Letter of $\bf{\mathbb{INDONESIA}}$ in Dictionary

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The discussion focuses on determining the rank of the word "INDONESIA" when all its letters are arranged alphabetically in an English dictionary. It also explores identifying the 61st letter in the dictionary sequence formed by these letters. The conversation references a blog post by Surya that provides insights on calculating the rank of a word with repeated letters. Participants engage in calculations and reasoning to arrive at the correct rank and letter position. Overall, the thread emphasizes the mathematical approach to word arrangement and ranking.
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If all the letters of the world $\bf{\mathbb{INDONESIA}}$ are arrange in a English Dictonary, Then

$(a)\;\; $ Rank of The word $\bf{\mathbb{INDONESIA}}$

$(b)\;\; 61^{th}$ Letter in Dictonary araanging $\bf{\mathbb{INDONESIA}}$
 
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First trick I learned this one a long time ago and have used it to entertain and amuse young kids. Ask your friend to write down a three-digit number without showing it to you. Then ask him or her to rearrange the digits to form a new three-digit number. After that, write whichever is the larger number above the other number, and then subtract the smaller from the larger, making sure that you don't see any of the numbers. Then ask the young "victim" to tell you any two of the digits of the...

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