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____________
 

Answers (1)

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

Most Viewed Questions

Preparation Products

Knockout JEE Main (Six Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Study Improvement Plan.

₹ 9999/- ₹ 8499/-
Buy Now
Knockout JEE Main (Nine Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Study Improvement Plan.

₹ 13999/- ₹ 12499/-
Buy Now
Test Series JEE Main 2024

Chapter/Subject/Full Mock Tests for JEE Main, Personalized Performance Report, Weakness Sheet, Complete Answer Key,.

₹ 7999/- ₹ 4999/-
Buy Now
Knockout JEE Main (One Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Study Improvement Plan.

₹ 7999/- ₹ 4999/-
Buy Now
Knockout JEE Main (Twelve Months Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Study Improvement Plan.

₹ 19999/- ₹ 14499/-
Buy Now
Boost your Preparation for JEE Main 2021 with Personlized Coaching
 
Exams
Articles
Questions