The letters of the word COCHIN are permuted and all the permutations are arranged in an alphabetical order as in an English dictionary. The number of words that appear before the word COCHIN is
← IIT-JEE 2007 · Paper 2
MathematicsSingle correct+3 / -1Question 53 of 66
IIT-JEE 2007 · Paper 2, Mathematics question 53
Answer and worked solution
Official answer: C
Letters in order: C, C, H, I, N, O (C repeated).
Words before COCHIN. All of them begin with C. With the second letter C, H, I or N (each smaller than O), the remaining four letters are distinct and can be arranged in ways: words.
Words starting CO. The remaining letters C, H, I, N in increasing order give COCHIN itself, the first such word.
So 96 words come before it.
(C)
Topics:Permutations