HCR Rank or Series Formula

Application of HCR's Formula on color property of articles.

#HCR'sRankformula #Linearpermutation #ColorProperty

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

When posting on Brilliant:

Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .
Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.
Stay on topic — we're all here to learn more about math and science, not to hear about your favorite get-rich-quick scheme or current world events.

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
paragraph 1 paragraph 2	paragraph 1 paragraph 2
`[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}`	$\boxed{123}$

Comments

Nice bro. :D

Finn Hulse - 7 years, 1 month ago

Find out the rank in the increasing order of a randomly selected number 58014408 from the set of all the 8-digit numbers, arranged in increasing order, obtained by the digits 0, 1, 4, 5, 8, 9. Repetition of the digits is allowed in the permutations.

Harish Chandra Rajpoot - 6 years, 6 months ago

Have you ever heard of lexicographic order?

Finn Hulse - 6 years, 6 months ago

@Finn Hulse – Yes, I know but my concept is quite different from this one. According to HCR's Rank Hypothesis of Linear Permutations ( like alphabetic words, numbers or all other linear permutations of different articles in the World/Universe) we can change the order of arrangements of linear permutations mathematically as we desire simply by pre-defining a linear sequence (i.e. a prior linear sequence) of given articles (either homogeneous or non-homogeneous) because after pre-defining a linear sequence mathematics itself decides the rank of any linear permutation selected from a set & where to place it in the correct order. You may go though details by following the link below http://www.academia.edu/9454711/HCRsRankFormula-2Rankofanylinearpermutationforrepetitionreplacementofarticles_

Harish Chandra Rajpoot - 6 years, 6 months ago

HCR's Rank Formula-2 (Rank of Selective Linear Permutations)/ proposed by H. C. Rajpoot /20/11/2014 Find out the rank in the increasing order of a randomly selected number 58014408 from the set of all the 8-digit numbers, arranged in increasing order, obtained by the digits 0, 1, 4, 5, 8, 9. Repetition of the digits is allowed in the permutations.

Harish Chandra Rajpoot - 6 years, 6 months ago

HCR's Rank Formula-2 (Rank of Selective Linear Permutations)/ proposed by H. C. Rajpoot /20/11/2014

Find out the total 8-digit numbers lying between 20227702 & 75007007 randomly selected from the set of all the 8-digit numbers, arranged in increasing order, obtained by the digits 0, 2, 5 & 7. Repetition of the digits is allowed in the permutations.

Harish Chandra Rajpoot - 6 years, 6 months ago

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}`	$\boxed{123}$