The letters of the word COCHIN are permuted and all permutations are arranged in alphabetical order as in an English dictionary. The number of words that appear before the word COCHIN is

Question

Smart Achievers · Accepted Answer

(1)

Arranging in alphabetical order → C, C, H, I, N, O

CC..... $\to 4!$

CH..... $\to 4!$

CI..... $\to 4!$

CN..... $\to 4!$

COCHIN $\to 1$

$∴$ No. of words before COCHIN = $4! + 4! + 4! + 4! = 96$

Solution

Q.
The letters of the word COCHIN are permuted and all permutations are arranged in alphabetical order as in an English dictionary. The number of words that appear before the word COCHIN is

1 96

2 48

3 183

4 267

Ans.
(1)

Arranging in alphabetical order → C, C, H, I, N, O

CC..... $\to 4!$

CH..... $\to 4!$

CI..... $\to 4!$

CN..... $\to 4!$

COCHIN $\to 1$

$∴$ No. of words before COCHIN = $4! + 4! + 4! + 4! = 96$

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