TS EAMCET · Maths · Probability
persons entered a lift cabin on the ground floor of a floor house. Suppose that each of them independently and with equal probability can leave the cabin at any floor beginning with the first. The probability of all the persons leaving the cabin at different floors, is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(B)
Step-by-step Solution
Detailed explanation
The number of floors of the building except ground floor is 6. The number of ways that the five persons can leave 6 floors is 65. ∴ The total number of cases is 65. The number of ways that the five persons can leave in different floors is 6P5. ∴ Probability =6P565…
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
- \(\left(\tan ^{-1} x\right)^2+\left(\cot ^{-1} x\right)^2=\frac{5 \pi^2}{8} \Rightarrow x=\)TS EAMCET 2011 Medium
- If where denotes the greatest integer less than or equal to thenTS EAMCET 2021 Easy
- In a triangle ABC, if \(c^2-a^2=b(\sqrt{3} c-b)\) and \(b^2-a^2=c(c-a)\), then \(\lfloor\mathrm{ACB}=\)TS EAMCET 2025 Hard
- The sum of angles of elevation of the top of a tower from two points distant \(a\) and \(b\) from the base and in the same straight line with it is \(90^{\circ}\). Then, the height of the tower isTS EAMCET 2010 Medium
- If \(\cosh \beta=\sec \alpha \cos \theta, \sinh \beta=\operatorname{cosec} \alpha \sin \theta\), then \(\sinh ^2 \beta=\)TS EAMCET 2018 Easy
- If the number of circular permutations of 9 distinct things taken 5 at a time is \(n_1\) and the number of linear permutations of 8 distinct things taken 4 at a time is \(n_2\), then \(\frac{n_1}{n_2}=\)TS EAMCET 2024 Medium
More PYQs from TS EAMCET
- The number of solutions of sec \(x \cos 5 x+1=0\) in the interval \([0,2 \pi]\) isTS EAMCET 2015 Medium
- If \(a\) and \(b\) respectively represent the leng ths of a side and a diagonal of a regular pentagon that is inscribed in a circle, then \(\frac{b}{a}=\)TS EAMCET 2019 Easy
- If \({ }^n P_r=30240\) and \({ }^n C_r=252\), then the ordered pair \((n, r)\) is equal toTS EAMCET 2008 Easy
- Find the voltage \(V_2\) across \(R_2\) for the given circuit
TS EAMCET 2018 Easy - An aqueous solution of a non-volatile solute boils at \(100.17^{\circ} \mathrm{C}\). The temperature at which this solution will freeze \(\left(\right.\) in \(\left.{ }^{\circ} \mathrm{C}\right)\) is \(\begin{aligned} & \left(\mathrm{K}_{\mathrm{b}}\left(\mathrm{H}_2 \mathrm{O}\right)=0.512^{\circ} \mathrm{C} \mathrm{kg} \mathrm{mol}^{-1},\right. \ & \left.\qquad \mathrm{K}_{\mathrm{f}}\left(\mathrm{H}_2 \mathrm{O}\right)=1.86^{\circ} \mathrm{C} \mathrm{kg} \mathrm{mol}^{-1}\right)\end{aligned}\)TS EAMCET 2023 Medium
- If \(S\) and \(S^{\prime}\) are the foci of the ellipse \(\frac{x^2}{25}+\frac{y^2}{16}=1\) and if \(P S P^{\prime}\) is a focal chord with \(S P=8\), then \(S S^{\prime}\) is equal toTS EAMCET 2016 Medium