Question

The letters of the word ALLAHABAD are rearranged to form
new words and put in a dictionary. If the dictionary has only
these words and one word on every page in alphabetical
order then what is the page number on which the letter
LABADALAH comes?

Answer 1

\(\large \color{black}{\begin{align}
& \normalsize \text{ The letters of the word ALLAHABAD are rearranged to form }\hspace{.33em}\\~\\
& \normalsize \text{ new words and put in a dictionary. If the dictionary has only}\hspace{.33em}\\~\\
& \normalsize \text{ these words and one word on every page in alphabetical}\hspace{.33em}\\~\\
& \normalsize \text{ order then what is the page number on which the letter }\hspace{.33em}\\~\\
& \normalsize \text{ LABADALAH comes? }\hspace{.33em}\\~\\
\end{align}}\)

Answer 2

sigh.

Answer 3

is that the original question or did you change some words ? just asking....

Answer 4

It is 100% genuine.

Answer 5

okay nvm.it's bank name i guess...

Answer 6

The total number of pages in the book, with only one new word on each page, is given by:
\[\large \frac{9!}{4!2!}=7560\ pages\]

Answer 7

I can never tell when there's a new one of these questions, for the longest time I just assumed they were always the same "counting question" from looking to the left haha

Answer 8

The number of pages where the first letter of each new word is L is given by:
8!/4! = 1680 pages. Therefore the number of the first page where the first letter of the new word is L is 7560 - 1680 = page 5880.
Now we need to find the number of pages after the word LAAAABDHL that occur until we reach the word LABADALAH.

Answer 9

The number of new words beginning with LAA is given by 6!/2 = 360. Therefore the number of the first page with new words beginning with LAB is found from:
5880 + 360 + 1 = page 6241.
The number of new words where the first letters are LABAA is given by 4! = 24. Therefore the number of the first page with new words beginning with LABAD is found from:
6241 + 24 +1 = page 6266.

Answer 10

Page 6267 has the word LABADAAHL.
Page 6268 has the word LABADAALH.
PAGE 6269 has the word LABADAHAL.

Answer 11

@Nnesha
"okay nvm.it's bank name i guess..."

It's a city in India with a population of over a million.

Answer 12

thnks

Answer 13

\(\color{blue}{\text{Originally Posted by}}\) @beginnersmind
@Nnesha
"okay nvm.it's bank name i guess..."

It's a city in India with a population of over a million.
\(\color{blue}{\text{End of Quote}}\)
*i guess*
i just read the heading https://gyazo.com/8676ed0390348c4c7db93901200ffe25
so i thought it's a bank XD
according to wikipedia
it supposed to be `Ilahabad` nd then British changed to `Allahabad` dun't know why.....
it pronounced like `Aallahbaad` not *bad*

Answer 14

sorry mathmath333 ,-, ...

Answer 15

I 'the monk" forgives u nesha

Answer 16

You're welcome :)

Answer 17

thank u :P
it's *nnesha :D :D