AP EAMCET · Maths · Permutation Combination
Statement I The number of ways of distributing 10 identical balls in 4 distinct boxes such that no box is empty is \({ }^9 C_3\).
Statement II The number of ways of choosing 3 places from 9 different places is \({ }^9 \mathrm{C}_3\).
- A Statement I is true, statement II is true, statement II is not a correct explanation for statement I
- B Statement I is true, statement II is false
- C Statement I is false, statement II is true
- D Statement I is true, statement II is true, statement II is a correct explanation for statement I
Answer & Solution
Correct Answer
(A) Statement I is true, statement II is true, statement II is not a correct explanation for statement I
Step-by-step Solution
Detailed explanation
Statement I The number of ways of distributing 10 identical balls in 4 distinct boxes such that no box is empty is \({ }^9 C_3\). \(\because n\) identical things can be distributed to different boxes by \({ }^{t-1} C_{r-1}\) ways such that no box is empty. 10 identical balls can…
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
- \(\int \frac{5 x^2+3}{x^2\left(x^2-2\right)} d x=\)AP EAMCET 2017 Medium
- If \(A\) and \(B\) are mutually exclusive events with \(P(A)=\frac{1}{4}\) and \(P(B)=\frac{3}{7}\). Then, what is the value of \(P(A / A \cup B)=\) ?AP EAMCET 2021 Easy
- Given that, \(a \alpha^2+2 b \alpha+c \neq 0\) and that the system of equations
\(\begin{aligned} & (a \alpha+b) x+a y+b z=0 \\ & (b \alpha+c) x+b y+c z=0 \\ & (a \alpha+b) y+(b \alpha+c) z=0\end{aligned}\)
has a non-trivial solution, then \(a, b\) and \(c\) lie inAP EAMCET 2012 Easy - The range of the real valued function \(f(x)=\sin ^{-1}\left(\frac{1+x^2}{2 x}\right)+\cos ^{-1}\left(\frac{2 x}{1+x^2}\right)\) isAP EAMCET 2024 Medium
- If \(f(x)=\frac{x}{\left(1+n x^n\right)^{1 / n}}\) for \(n \geq 2\), then \(\int x^{n-2} f(x) d x=\)AP EAMCET 2023 Easy
- \(\lim _{x \rightarrow \infty}\left[\left(1+\frac{1}{n^3}\right)^{\frac{1}{n^3}}\left(1+\frac{8}{n^3}\right)^{\frac{4}{n^3}}\left(1+\frac{27}{n^3}\right)^{\frac{9}{n^3}} \ldots . .(2)^{\frac{1}{n}}\right]=\)AP EAMCET 2024 Hard
More PYQs from AP EAMCET
- Isopropyl benzene on aerial oxidation followed by acid hydrolysis of the resulting compound yields.AP EAMCET 2018 Medium
- Suppose that \(f\) and \(g\) are integrable on \([a, b]\), then \(f+g\) is integrable on ......... .AP EAMCET 2020 Easy
- If the ellipse \(4 x^2+9 y^2=36\) is confocal with a hyperbola whose length of the transverse axis is 2 , then the points of intersection of the ellipse and hyperbola lie on the circleAP EAMCET 2024 Easy
- Frequencies in the UHF range normally propagate by means ofAP EAMCET 2022 Easy
- If X is a binomial variate with mean \(\frac{16}{5}\) and variance \(\frac{48}{25}\), then \(\mathrm{P}(\mathrm{X} \leq 2)=\)AP EAMCET 2025 Medium
- A ray of light incidents at an angle of \(60^{\circ}\) on the first face of a prism. The angle of the prism is \(30^{\circ}\) and its second face is silvered. If the light ray inside the prism retraces its path after reflection from the second face, then the refractive index of the material of the prism isAP EAMCET 2025 Medium