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  • All the arrangements, with or without meaning, of the word FARMER are written excluding any word that has two appearing together. The arrangements are listed seri

All the arrangements, with or without meaning, of the word FARMER are written excluding any word that has two \mathrm{R}appearing together. The arrangements are listed serially in the alphabetic order as in the English dictionary. Then the serial number of the word FARMER in this list is____________
 

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best_answer

Words starting with A and 2 R's are seperated \underline{A}\: \underline{E}\: \underline{F}\: \underline{M}\: \underline{R}\: \underline{R}= \frac{5!}{2!}-4!
                               = 60-24= 36

Such words starting with E = \underline{E}\: \underline{A}\; \underline{F}\; \underline{M}\: \underline{R}\; \underline{R}
                                             = 60-24= 36

Starting with F   =\underline{F}\: \underline{A}\: \underline{E}\: \underline{R}\: \underline{M}\: \underline{R}\:
                              \underline{F}\: \underline{A}\: \underline{M}\: \underline{R}\: \underline{E}\: \underline{R}\:
                              \underline{F}\: \underline{A}\: \underline{R}\: \underline{E}\: \underline{M}\: \underline{R}\:
                               \underline{F}\: \underline{A}\: \underline{R}\: \underline{E}\: \underline{R}\: \underline{M}\:
                               \underline{F}\: \underline{A}\: \underline{R}\: \underline{M}\: \underline{E}\: \underline{R}\:
so order = 36+36+5= 77

Posted by

Kuldeep Maurya

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