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If all the words that can be formed by using the letters of the word MATHEMATICS are arranged in a dictionary, then what is the rank of the word MATHEMATICS?

Farheen , 7 Years ago
Grade 11
anser 1 Answers
Vikas TU

Last Activity: 7 Years ago

System to locate the rank of a word 
Step 1: Write the word or more it,put the in sequential order requesting. 
Step 2:Write below,the factorial esteems beginning with 0!(=1) from ideal to left. 
Step 3:Write the quantity of numbers less than(in best line) the number towards right of it. 
Step 4:Multiplythe numbersshown by and include. 
Step 5:Add "1" to get the rank of the word. 
The rank of "Arithmetic" is 
Step 1: 6 1 8 4 3 6 1 8 5 2 7 
M A T H E M A T I C S 
Step 2: 10! 9! 8! 7! 6! 5! 4! 3! 2! 1! 0! 
Step 3: 6 0 7 3 2 3 0 3 1 0 
Step 4: MULTIPLYING esteems gotten in step 2 and 3 like 6*10!+1*9!+.... 
we get 22071980 
Step 5: 22071980+1=22071981 
Henceforth the rank of MATHEMATICS is 22071981

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