Ain't i too small for creating my own dictionary --3

Let's say you are the head of a linguistic society and wish to arrange words formed by using all the letters of the word "SACHIN"......IN DICTIONARY ORDER THAT IS ALPHABETICALLY ..........

now in which position does the word "SACHIN" occurs?


The answer is 601.

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1 solution

"SACHIN" is the first word in dictionary order beginning with the letter S. Now since S is the "last" in dictionary order of the 6 6 distinct letters A, C, H, I, N and S, "SACHIN" will be the next word after all the words starting with A, C, H, I and N have been formed.

Since there are 5 ! = 120 5! = 120 words starting with each of A, C, H, I and N, "SACHIN" will be in the 601 \boxed{601} st position.

SIR ....PLEASE SHARE IT....

ashutosh mahapatra - 6 years, 8 months ago

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