TS EAMCET · Maths · Permutation Combination
9 balls are to be placed in 9 boxes and 5 of the balls cannot fit into 3 small boxes. The number of ways of arranging one ball in each of the boxes is
- A \(18720\)
- B \(18270\)
- C \(17280\)
- D \(12780\)
Answer & Solution
Correct Answer
(C) \(17280\)
Step-by-step Solution
Detailed explanation
Required number of arrangements \[ \begin{aligned} & ={ }^6 P_5 \times 4 ! \\ & =720 \times 24 \\ & =17280 \end{aligned} \]
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 differential equation of a family of hyperbolas whose axes are parallel to coordinate axes, centres lie on the line \(y=2 x\) and eccentricity is \(\sqrt{3}\) isTS EAMCET 2025 Hard
- If the circles \(x^2+y^2+2 k x-4 y+1=0\) and \(x^2+y^2-8 x-12 y+43=0\) touch each other then \(k=\)TS EAMCET 2018 Medium
- Let be four vectors and let and . ThenTS EAMCET 2022 Easy
- If the circles and touch internally at thenTS EAMCET 2021 Medium
- \(\int \frac{x^5+x}{x^8+1} d x=\)TS EAMCET 2024 Medium
- The radius of the circle \(r=\sqrt{3} \sin \theta+\cos \theta\) isTS EAMCET 2004 Medium
More PYQs from TS EAMCET
- A plane ( \(\pi\) ) passing through the point \((1,2,-3)\) is perpendicular to the planes \(x+y-z+4=0\) and \(2 x-y+z+1=0\). If the equation of the plane \((\pi)\) is \(a x+b y+c z+1=0\) then \(a^2+b^2+c^2=\)TS EAMCET 2024 Medium
- If the ratio of the perpendicular distances of a variable point \(P(x, y, z)\) from the \(X\)-axis and from the \(Y Z\)-plane in \(2: 3\), then the equation of the locus of \(P\) isTS EAMCET 2024 Medium
- By using which process, sodium carbonate is generally prepared?TS EAMCET 2025 Easy
- Assertion : Aldehydes are more reactive than ketones towards nucleophilic addition reactions. Reason (R) : In aldehydes, carbonyl carbon is less electrophilic compared to ketones. The correct answer isTS EAMCET 2024 Medium
- \(\int \frac{x^8-9 x^2+18}{x^4-3 x^2+3} d x=\)TS EAMCET 2018 Easy
- If \(I_n=\int \cos ^n x d x\), then \(6 I_6-5 I_4=\)TS EAMCET 2018 Medium