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All the six letters of the name SACHIN are arranged to fro, di

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All the six letters of the name SACHIN are arranged to fro, different words repeating any letter in any one word. The words so formed are then arranged as in a dictionary. What will be the Position of the world SACHIN in that sequence ?

436.0

590.0

601.0

751.0

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All the six letters of the name SACHIN are arranged to fro, different words repeating any letter in any one word. The words so formed are then arranged as in a dictionary. What will be the Position of the world SACHIN in that sequence ?

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Text solutionVerified

SACHIN

S is fixed since it is the starting letter

No. of words that start with A

= A_{\overset{ˉ}{5} \overset{ˉ}{4} \overset{ˉ}{3} \overset{ˉ}{2} \overset{ˉ}{1}} = 5 \times 4 \times 3 \times 2 \times 1 = 5!

= 120

No. of words starting with C

= C_{\overset{ˉ}{5} \overset{ˉ}{4} \overset{ˉ}{3} \overset{ˉ}{2} \overset{ˉ}{1}} = 5! = 120

Similarly, no. of words starting from H, I, N will be

120

∴

Total No. of words

= 120 + 120 + 120 + 120 + 120 = 600

Since SACHIN will be remakes after

600

words, therefore it's rank will be

60 1^{t h}

Option [c].

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Question Text	All the six letters of the name SACHIN are arranged to fro, different words repeating any letter in any one word. The words so formed are then arranged as in a dictionary. What will be the Position of the world SACHIN in that sequence ?
Answer Type	Text solution:1
Upvotes	150

All the six letters of the name SACHIN are arranged to fro, different words repeating any letter in any one word. The words so formed are then arranged as in a dictionary. What will be the Position of the world SACHIN in that sequence ?

Text solutionVerified

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