Base 10 $Dictionary$

There was once a Base-10 dictionary, giving out 10 letters from the alphabet, namely $P,L,K,E,M,N,A,G,J,B$ , in this order : P as the 1st word, L as the 2nd word, K as the 3rd word...... ,J as the 9th word and B as the 10th word. There are some "basetenword"s in this dictionary, where you pick out 1 to 5 different letters to form a "basetenword", such as $PPPPP, PLLLL, PLKKK, PLKMM, PLEJB$ . In which sequence is $NBMBG$ , and find $\sqrt[(NBMBG^{NBMBG})]{NBMBG}$ , correct to 2 decimal places.

**Note: There are $10^{5}-10^{4}$ "basetenword" in this Base 10 $Dictionary$

e.g. MPJBN is in the $52006^{th}$ "basetenword"

#Combinatorics

Easy Math Editor

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Markdown	Appears as
`italics` or `_italics_`	italics
`bold` or `__bold__`	bold
- bulleted - list	bulleted list
1. numbered 2. list	numbered list
Note: you must add a full line of space before and after lists for them to show up correctly
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`[example link](https://brilliant.org)`	example link
`> This is a quote`	This is a quote
# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"	# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"

Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

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Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Base 10 DictionaryDictionaryDictionary

Comments

Base 10 $Dictionary$