AP EAMCET · Maths · Permutation Combination
In how many ways can you arrange the letters of the word "ATT AIN" so that the \(T\) 's are together?
- A 120
- B 240
- C 60
- D 24
Answer & Solution
Correct Answer
(C) 60
Step-by-step Solution
Detailed explanation
Treat \( \text{TT} \) as one unit. Items to arrange: \( \text{A, (TT), A, I, N} \). Total items \( n = 5 \). Repeated item: \( \text{A} \) occurs \( 2 \) times. Ways \( = \frac{n!}{p!} \) \( = \frac{5!}{2!} \) \( = \frac{120}{2} \) \( = 60 \)
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
- \(\int \frac{\sqrt{\cot x}}{\sin x \cos x} d x=-f(x)+c \Rightarrow f(x)\)AP EAMCET 2004 Easy
- If \(C\) is the mid-point of line segment \(A B\) and \(P\) is any point not on the line \(A B\), thenAP EAMCET 2021 Hard
- The equations \(x-y=4\) and \(x^2+4 x y+y^2=0\) represent the sides of a/anAP EAMCET 2020 Hard
- If \(\frac{\tan 3 A}{\tan A}=a\), then \(\frac{\sin 3 A}{\sin A}\) is equal toAP EAMCET 2005 Hard
- If \(\alpha, \beta\) are the roots of \(x^2-5 \gamma x-6 \delta=0\) and \(\gamma, \delta\) are the roots of \(x^2-5 \alpha x-6 \beta=0\), then \(\alpha+\beta+\gamma+\delta=\)AP EAMCET 2025 Medium
- Let \((a-3) x^2+12 x+(a+6)>0, \forall x \in R ~\&~ a \in(\ell, \infty)\). If \(\alpha\) is the least positive integral value of \(a\), then the roots of \((\alpha-3) x^2+12 x+(\ell+2)=0\) areAP EAMCET 2025 Medium
More PYQs from AP EAMCET
- If \((\alpha, \beta)\) is the orthocentre of the triangle with the vertices \((2,2),(5,1),(4,4)\), then \(\alpha+\beta=\)AP EAMCET 2024 Medium
- If the lines represented by the equation are real then the value of ' ' lies in the intervalAP EAMCET 2021 Easy
- In the figure, if A & B are identical bulbs, which bulb glows brighter
AP EAMCET 2024 Easy - Two particles of masses \(5 \mathrm{~g}\) and \(3 \mathrm{~g}\) are separated by a distance of \(40 \mathrm{~cm}\). The centre of mass of the system of these two particlesAP EAMCET 2023 Easy
- If the distance \(s\) travelled by a particle in time \(t\) is given by \(s=t^2-2 t+5\), then its acceleration isAP EAMCET 2011 Easy
- At \(x=\frac{\pi^2}{4}, \frac{d}{d x}\left(\tan ^{-1}(\cos \sqrt{x})+\sec ^{-1}\left(e^x\right)\right)=\)AP EAMCET 2023 Medium