JEE Main · 2005 · 08 May 2005 · Offline · Permutations and Combinations

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If the letters of word SACHIN are arranged in all possible ways and these words are written out as in dictionary, then the word SACHIN appears at serial number

(A)601✓ Correct
(B)600
(C)603
(D)602

Answer: (A)

Solution

In dictionary order the letters are

A, C, H, I, N, S

. Every word beginning with one of the five letters that precede

S

uses

5! = 120

arrangements of the remaining letters, giving

5 \times 120 = 600

words before any word starting with

S

. Among the words beginning with

S

, taking the remaining letters in alphabetical order spells

A, C, H, I, N

, so SACHIN is the very first of them. Hence SACHIN appears at serial number

600 + 1 = 601

JEE Main · 2005 · 08 May 2005 · Offline · Single correct option

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