TS EAMCET · Maths · Permutation Combination
The number of ways in which 6 distinct things can be distributed into 2 boxes so that no box is empty is
- A \(36\)
- B \(64\)
- C \(62\)
- D \(34\)
Answer & Solution
Correct Answer
(C) \(62\)
Step-by-step Solution
Detailed explanation
The first object can be placed in one of the 2 boxes in 2 ways. Similarly other things can be placed. In 2 cases one of the boxes remains empty. Required ways \(=2^6-2=62\).
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
- A random variable \(X\) has the probability distribution given below.
Its variance isTS EAMCET 2014 Easy - If \(x\) is numerically so small so that \(x^2\) and higher powers of \(x\) can be neglected, then \(\left(1+\frac{2 x}{3}\right)^{3 / 2} \cdot(32+5 x)^{-1 / 5}\) is approximately equal toTS EAMCET 2009 Easy
- If all the numbers which are greater than 6000 and less than 10000 are formed with the digits \(3,5,6,7,8\) without repetition of the digits, then the difference between the number of odd numbers and the number of even numbers among them isTS EAMCET 2024 Easy
- If \(\mathrm{n}, \mathrm{r}\) are two positive integers such that \(1 \leq \mathrm{r} < \mathrm{n}\), then \({ }^n P_{r+1}+r^2 n-1 P_{r-1}+(r+1)^{n-1} P_r+r^{n-1} P_{r-1}=\)TS EAMCET 2023 Medium
- \(\int \frac{\sin x \cdot \sec ^2 x-\tan x \cdot \sin x+\cos x}{(1-\cos 2 x)} d x=\)TS EAMCET 2022 Hard
- A man has 7 relatives, 4 of them are ladies and 3 gents; his wife has 7 other relatives, 3 of them are ladies and 4 gents. The number of ways they can invite them to a party of 3 ladies and 3 gents so that there are 3 of man's relatives and 3 of wife's relatives, isTS EAMCET 2024 Medium
More PYQs from TS EAMCET
- A convex lens of radii of curvature 6 cm and 12 cm is immersed in a liquid of refractive index 1.3. If the refractive index of the material of the lens is 1.5, then the focal length of the lens when immersed in the liquid isTS EAMCET 2025 Medium
- A current of is flowing at in the primary coil of a transformer. If the voltage produced in the secondary coil is and of power is lost, then the current in the secondary coil will be:TS EAMCET 2020 Medium
- Which of the following are the correct representations of a zero order reaction, where \(A\) represents the reactant?
TS EAMCET 2017 Hard - is a point on the conic and is a focus of that conic. is the foot of the perpendicular from on to a directrix of that conic nearer to . If , thenTS EAMCET 2021 Medium
- The molecular formula of metaphosphoric acid isTS EAMCET 2020 Medium
- Two moles of a triatomic gas \(\left(\gamma=\frac{4}{3}\right)\) at temperature \(327^{\circ} \mathrm{C}\) expands adiabatically such that its volume becomes 8 times its initial volume. Later the temperature of the gas is doubled in an isochoric process. The total work done in the two processes is ( \(\mathrm{R}\) - universal gas constant)TS EAMCET 2023 Medium