AP EAMCET · Maths · Probability
Five different books are to be distributed among four students randomly. The probability that each child get atleast one book is
- A \(\frac{21}{64}\)
- B \(\frac{15}{64}\)
- C \(\frac{31}{64}\)
- D \(\frac{51}{64}\)
Answer & Solution
Correct Answer
(B) \(\frac{15}{64}\)
Step-by-step Solution
Detailed explanation
Total number of ways to distribute five different books among four students randomly is \(4^5=2^{10}=1024\) and number of ways to distribute five different book among four students such that each child get atleast one book is \[ \frac{5 !}{1 ! 1 ! 1 ! 2 ! 3 !} \times 4 !=240 \]…
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
- Let \(\mathrm{A}\) and \(\mathrm{B}\) be two independent events of a random experiment. If the probability that both A and B occur is \(\frac{1}{6}\) and the probability that neither of them occur is \(\frac{1}{3}\), then the probability of occurrence of \(\mathrm{A}\) isAP EAMCET 2023 Hard
- Solve the equation, \(3^{x^2-x}=25-4^{x^2-x}\)AP EAMCET 2020 Easy
- \(\int\left[(\log 2 x)^2+2 \log 2 x\right] d x=\)AP EAMCET 2024 Easy
- If \(\alpha+\beta+\gamma=2 \theta\), then \(\cos \theta+\cos (\theta-\alpha)\) \(+\cos (\theta-\beta)+\cos (\theta-\gamma)\) is equal toAP EAMCET 2008 Medium
- For \(a \in R\), if the vectors \(\bar{p}=(a+1) \bar{i}+a \bar{j}+a \bar{k}, \overline{\mathrm{q}}=\mathrm{a} \overline{\mathrm{i}}+(\mathrm{a}+1) \overline{\mathrm{j}}+\mathrm{a} \overline{\mathrm{k}}\) and \(\bar{r}=a \bar{i}+a \bar{j}+(a+1) \bar{k}\) are coplanar and \(3(\bar{p} \cdot \bar{q})^2-\lambda|\bar{r} \times \bar{q}|^2=0\), then the value of \(\lambda\) isAP EAMCET 2025 Hard
- In a \(\triangle A B C\), with usual notation, match the items in List-I with the items in List-II and choose the correct option.
AP EAMCET 2019 Hard
More PYQs from AP EAMCET
- When a charge of \(20 \mathrm{C}\) is taken from one point to another separated by a distance of \(0.2 \mathrm{~m}\), work of \(2 \mathrm{~J}\) is required to be done.
What is the potential difference between the two points?AP EAMCET 2020 Hard - The derivative of \(y=\tan ^{-1}\left[\frac{\sqrt{1+\sin x}+\sqrt{1-\sin x}}{\sqrt{1+\sin x}-\sqrt{1-\sin x}}\right] \text { with }\) respect to \(x\) is equal toAP EAMCET 2020 Medium
- The area enclosed by the curves \(y=x|x|\), \(x=-1\) and \(x=1\) is.......... sq units.AP EAMCET 2021 Easy
- In \(\triangle \mathrm{ABC}\), if a \(\cos ^2 \frac{\mathrm{C}}{2}+\cos ^2 \frac{\mathrm{A}}{2}=\frac{3 \mathrm{~b}}{2}\), then \(\mathrm{a}+\mathrm{c}: \mathrm{b}=\)AP EAMCET 2023 Hard
- As shown in the figure, a block of weight \(20 \mathrm{~N}\) is connected to the top of a smooth inclined plane by massless spring of constant \(8 \pi^2 \mathrm{Nm}^{-1}\). If the block is pulled slightly from its mean position and released, the period of oscillations is
(Acceleration due to gravity \(=10 \mathrm{~ms}^{-2}\) )
AP EAMCET 2023 Medium - The product of the perpendicular distances drawn from the origin to the pair of straight lines \(6 x^2-5 x y-6 y^2+x+5 y-1=0\) isAP EAMCET 2017 Hard