Math, asked by Janviarya, 1 year ago

What is the rank of the word 'MATHEMATICS' in dictionary???

Answers

Answered by nandu181

in mathematics there is 11 words so by permutation 11*10*9*8*7*6*5*4*3*2*1 = 39916800

Answered by amitnrw

Step-by-step explanation:

Rank of 'MATHEMATICS' is the position of word 'MATHEMATICS' when all permutations of the word are written in alphabetical order.

MATHEMATICS

11 - Letters

M - 2 , A - 2 , T - 2

Total possible Words = 11!/(21*2!*2!) = 49,89,600‬

A , A , C , E , H , I M , M , S , T , T

Starting with A - 10!/2!*2! = 907200

Starting with C - 10!/2!*2! 2! = 4,53,600

Starting with - E - 10!/2!*2! 2! = 4,53,600

Starting with - H - 10!/2!*2! 2! = 4,53,600

Starting with - I - 10!/2!*2! 2! = 4,53,600

Starting with MAA- 8!/2! = 20160

Starting with MAC- 8!/2! = 20160

Starting with MAE- 8!/2! = 20160

Starting with MAH- 8!/2! = 20160

Starting with MAI- 8!/2! = 20160

Starting with MAM- 8!/2! = 20160

Starting with MAS - 8!/2! = 20160

Starting with MATA - 7! = 5040

Starting with MATC - 7! = 5040

Starting with MATE - 7! = 5040

Starting with MATHA - 6! = 720

Starting with MATHC - 6! = 720

Starting with MATHEA - 5! = 120

Starting with MATHEC 5! = 120

Starting with MATHEI 5! = 120

Starting with MATHEMAC - 3! = 6

Starting with MATHEMAI - 3! = 6

Starting with MATHEMAS - 3! = 6

Starting with MATHEMATC - 2! = 2

Then comes Mathematics

Add all above number to get Rank of Mathematics = 28,79,661

Learn more:

Find the rank of the word"EXAM"in dictionary? - Brainly.in

https://brainly.in/question/12641253

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