Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
The number of arrangements of the letters of the word ARRANGEMENT in which two Es' do not occur adjacently is
MathematicsPermutation CombinationAP EAMCETAP EAMCET 2023 (16 May Shift 2)
Options:
  • A $\frac{9}{8}(10) !$
  • B $\frac{9}{4}(10) !$
  • C $\frac{9}{16}(10) !$
  • D $\frac{9}{32}(10)!$
Solution:
1878 Upvotes Verified Answer
The correct answer is: $\frac{9}{16}(10) !$
Total arrangements $=\frac{\lfloor 11}{\lfloor 2 \cdot 2 \cdot|2 \cdot| 2}$
Number of arrangement in which two E occur together $=\frac{10}{2 \cdot 2 \cdot 2 \cdot 2}$ $=\frac{10.9}{16}=\frac{9}{16}\lfloor 10$

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.