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

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

Permutations and Combinations

Solution:

Words starting form $A=6 !=720$
words starting from $D, H, I, K=\frac{6 !}{2 !} \times 4=1440$
Word starting form $RAA =4 !=24$
RADA$=3 !=6$
RADHA $=2 !=2$
RADHIAK $=1$
Thus, number of words before RADHIKA $= 2193$