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Procedureto find the rank of a word Step 1: Write the word and above it,put the alphabetical ordering. Step 2:Write below,the factorial values starting with 0!(=1) from right to left. Step 3:Write the number of numbers less than(in top row) the number towards right of it. Step 4:Multiplythe numbersshown byand add. Step 5:Add "1" to get the rank of the word. The rank of the word "MATHEMATICS" 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 0 Step 4: MULTIPLYING values obtained in step 2 and 3 like 6*10!+1*9!+....
we get 22071980 Step 5: 22071980+1=22071981 Therefore 22071981is the rank of the word "MATHEMATICS"
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