AP EAMCET · Maths · Permutation Combination
The number of arrangements of the letters of the word ARRANGEMENT in which two Es' do not occur adjacently is
- A \(\frac{9}{8}(10) !\)
- B \(\frac{9}{4}(10) !\)
- C \(\frac{9}{16}(10) !\)
- D \(\frac{9}{32}(10)!\)
Answer & Solution
Correct Answer
(C) \(\frac{9}{16}(10) !\)
Step-by-step Solution
Detailed explanation
Total arrangements \(=\frac{\lfloor 11}{\lfloor 2 \cdot 2 \cdot|2 \cdot| 2}\) Number of arrangement in which two E occur together \(=\frac{10}{2 \cdot 2 \cdot 2 \cdot 2}\) \(=\frac{10.9}{16}=\frac{9}{16}\lfloor 10\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- \(\lim _{n \rightarrow \infty}\left[\frac{n+1}{n^2+1^2}+\frac{n+2}{n^2+2^2}+\frac{n+3}{n^2+3^2}+\ldots+\frac{n+2 n}{n^2+4 n^2}\right]=\)AP EAMCET 2025 Medium
- In \(\triangle A B C\), if \((a+c)^2=b^2+3 c a\), then \(\frac{a+c}{2 R}=\)AP EAMCET 2024 Medium
- If \(u(x, y)=y \log x+x \log y\), then \(u_x u_y-u_x \log x-u_y \log y+\log x \log y\) is equal to :AP EAMCET 2003 Hard
- If \(2 \sin 2 \theta=\sqrt{3}\), then \(\theta=\)AP EAMCET 2022 Easy
- Let \(A\) and \(B\) represent \(z_1\) and \(z_2\) in the Argand plane and \(z_1, z_2\) be the roots of the equation \(Z^2+p Z+q=0\), where \(p, q\) are complex numbers. If \(O\) is the origin, \(O A=O B\) and \(\lfloor A O B=\alpha\), then \(p^2=\)AP EAMCET 2017 Hard
- In a binomial distribution the probability of getting success is \(\frac{1}{4}\) and the standard deviation is 3 . Then, its mean isAP EAMCET 2002 Easy
More PYQs from AP EAMCET
- The locus of a point at which the line joining the points \((-3,1,2),(1,-2,4)\) subtends a right angle, isAP EAMCET 2025 Medium
- A body travelling along a straight line path travels first half of the distance with a velocity \(7 \mathrm{~ms}^{-1}\). During the travel time of the second half of the distance, first half time is travelled with a velocity \(14 \mathrm{~ms}^{-1}\) and the
second half time is travelled with a velocity \(21 \mathrm{~ms}^{-1}\). Then the average velocity of the body during the journey isAP EAMCET 2019 Medium - A particle is executing SHM. The time taken for \(\left(\frac{3}{8}\right)^{\text {th }}\) of oscillation from extreme positions is \(x\). Then, the time taken for the particle to complete \(\left(\frac{5}{8}\right)^{\text {th }}\) of oscillation from mean position isAP EAMCET 2018 Medium
- A person walks up a stalled escalator in 90 s . When standing on the same moving escalator he reached in 60 s . The time it would take him to walk up the moving escalator will be.AP EAMCET 2024 Easy
- In which of the following, the solubility of \(\mathrm{AgCl}\) will be minimum?AP EAMCET 2019 Easy
- Let \(M=\left[\begin{array}{ll}1 & 1 \\ 0 & 1\end{array}\right]\) and \(N=\left[\begin{array}{ll}1 & 0 \\ 0 & 2\end{array}\right]\). Then \(N M^{10} N^{-1}=\)AP EAMCET 2020 Easy