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Question: The letters of word "RADHIKA" are permuted are arranged in alphabetical order as in English dictiona...

The letters of word "RADHIKA" are permuted are arranged in alphabetical order as in English dictionary. The number of words the appear before the word "RADHIKA" is -

A

2193

B

2195

C

2119

D

2192

Answer

2193

Explanation

Solution

Words starting form A = 6! = 720

words starting from D, H, I, K = 6!2!\frac{6!}{2!}× 4 = 1440

Word starting form RAA = 4! = 24

RADA = 3! = 6

RADHA = 2! = 2

RADHIAK = 1

\ Number of words before RADHIKA = 2193