TS EAMCET · Maths · Permutation Combination
If \(x\) and \(y\) represent the number of arrangements of the letters of word ATRAPATRAM such that (i) all A's are together and (ii) no two A's are together respectively, then \(x+y\)
- A \(\frac{10 !}{4 ! 2 ! 2 !}\)
- B \(\frac{7 ! \times 15}{2 ! 2 ! 4 !}\)
- C \(\frac{6 !}{2 ! 2 !} \times 42\)
- D \(\frac{7 !}{2 ! 2 !}+\frac{6 ! \cdot 7 p_4}{2 ! 2 !}\)
Answer & Solution
Correct Answer
(C) \(\frac{6 !}{2 ! 2 !} \times 42\)
Step-by-step Solution
Detailed explanation
Given, word ATRAPATRAM Here, \(\mathrm{A} \rightarrow 4\) times \(\mathrm{T} \rightarrow 2\) times \(\mathrm{R} \rightarrow 2\) times \(\mathrm{P} \rightarrow 1\) time \(M \rightarrow 1\) time (i) All A's are together, Then it will be consider as one letter and remaining 6…
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
- The point of intersection of two tangents drawn to the hyperbola \(\frac{x^2}{a^2}-\frac{y^2}{4}=1\) lie on the circle \(x^2+y^2=5\). If these tangents are perpendicular to each other, then \(a=\)TS EAMCET 2024 Medium
- If a complex number \(z=x+i y\) represents a point \(\mathrm{P}(x, y)\) in the Argand plane and \(z\) satisfies the condition that the imaginary part of \(\frac{z-3}{z+3 i}\) is zero, then the locus of the point P isTS EAMCET 2025 Medium
- A quadrilateral is divided by the diagonal into two triangles of equal areas. If are respectively , then the locus of isTS EAMCET 2018 Hard
- Consider the parabola \(y^2+2 x+2 y-3=0\) and match the items of List-I with those of the List-II.
The correct match is \(A \quad B \quad C \quad D\)TS EAMCET 2020 Easy - If and are respectively the coefficient of and in the expansion of
thenTS EAMCET 2021 Easy - \(A(1,2,3), B(2,3,1)\) and \(C(3,1,2)\) are three points. If the point \(\mathrm{P}\) divides \(\mathrm{AB}\) in the ratio \(1: 2\) and the point \(\mathrm{Q}\) divides \(\mathrm{BC}\) in the ratio \(-2: 3\), then the distance between \(P\) and \(Q\) isTS EAMCET 2023 Easy
More PYQs from TS EAMCET
- A metal rod of area of cross-section \(3 \mathrm{~cm}^2\) is stretched along its length by applying a force of \(9 \times 10^4 \mathrm{~N}\). If the Young's modulus of the material of the rod is \(2 \times 10^{11} \mathrm{Nm}^{-2}\), the energy stored per unit volume in the stretched rod isTS EAMCET 2025 Medium
- A cylindrical metallic wire is stretched to increase its length in such a way that the metallic wire changes its resistance by . The percentage increase in its length isTS EAMCET 2022 Easy
- Which of the following reactions does no liberate gaseous product ?TS EAMCET 2006 Medium
- Identify all the species that do not exist \[ \mathrm{H}_2^{+}, \mathrm{He}_2^{2+}, \mathrm{Li}_2^{2-}, \mathrm{Ne}_2, \mathrm{Be}_2^{-}, \mathrm{He}_2 \]TS EAMCET 2022 Hard
- The area (in sq units) bounded by the curves \(x=-2 y^2\) and \(x=1-3 y^2\) isTS EAMCET 2013 Medium
- A current of \(19296 \mathrm{C}\) is passed through an aqueous solution of copper sulphate using copper electrodes. What is the mass (ing) of copper deposited at the cathode? (Molar mass of \(\mathrm{Cu}=63.5 \mathrm{~g} \mathrm{~mol}^{-1}\) )TS EAMCET 2019 Easy