AP EAMCET · Maths · Sets and Relations
If set A contains 8 elements then number of subsets of \(A\) which contain at least 6 elements is
- A 28
- B 73
- C 37
- D 82
Answer & Solution
Correct Answer
(C) 37
Step-by-step Solution
Detailed explanation
Given \(n(A)=8\) Now, the number of subsets of \(A\) which contain atleast 6 elements \(={ }^8 C_6+{ }^8 C_7+{ }^8 C_8=37\)
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
- Suppose a parabola passes through and and has its axis parallel to the -axis. Then the equation of the parabola isAP EAMCET 2022 Medium
- If \(\lim _{x \rightarrow 1} \frac{\sqrt[4]{x^{-3}}+a \sqrt[4]{x^5}}{x-1}=-2\), then the coefficient of \(x\) in the expansion of \(\left(\sqrt[4]{x^{-3}}+a \sqrt[4]{x^5}\right)^4\) isAP EAMCET 2023 Medium
- If the power of the point \((1,6)\) with respect to the circle \(x^2+y^2+4 x-6 y-a=0\) is -16, then \(\mathrm{a}=\)AP EAMCET 2025 Easy
- From a point on the level ground, the angle of elevation of the top of a pole is \(30^{\circ}\) on moving 20 metres nearer, the angle of elevation is \(45^{\circ}\). Then, the height of the pole (in metres), isAP EAMCET 2002 Medium
- If \(\alpha, \beta\) are the two real roots of \(4^{\mathrm{tn}}\) roots of unity and \(\gamma, \delta\) are the other two roots of it, then the sum of the eccentricities of the conics \(|z-\alpha|+|z-\beta|=4\) and \(|z-\gamma|+|z-\delta|=6\) isAP EAMCET 2023 Hard
- If a random variable \(X\) has the probability distribution given by \(P(X=0)=3 C^3\), \(P(X=2)=5 C-10 C^2\) and \(P(X=4)=4 C-1\), then the variance of that distribution isAP EAMCET 2019 Medium
More PYQs from AP EAMCET
- In diborane, the number of 2-centre-2-electron bonds and 3 centre-2-electron bonds respectively are:AP EAMCET 2017 Easy
- \(100 \mathrm{~mL}\) of \(0.2 \mathrm{M}\) acetic acid is completely neutralised using a standard solution of \(\mathrm{NaOH}\). The volume of ethane obtained at STP after complete electrolysis of the resulting solution isAP EAMCET 2021 Hard
- If \(\vec{f}=\hat{i}+\hat{j}+\hat{k}\) and \(\vec{g}=2 \hat{i}-\hat{j}+3 \hat{k}\) then the projection vector of \(\vec{f}\) on \(\vec{g}\) isAP EAMCET 2024 Easy
- Two cards are drawn at random from a pack of 52 playing cards. If both the cards drawn are found to be black in colour, then the probability that atleast one of them is a face card isAP EAMCET 2025 Medium
- Consider the two following statements \(A\) and \(B\), and identify the correct choice given in the answers :
(A) In photovoltaic cells the photoelectric current produced is not proportional to the intensity of incident light.
(B) In gas filled photoemissive cells, the velocity of photoelectrons depends on the wavelength of the incident radiation.AP EAMCET 2003 Easy - Select the correct statements from the following.
A) Aluminium liberates \(\mathrm{H}_2\) gas with dil. HCl but not with aqueous NaOH .
B) Formula of sodium metaborate is \(\mathrm{Na}_3 \mathrm{BO}_3\)
C) Boric acid is a weak monobasic acid
D) For thallium, +1 state is more stable than +3 state.AP EAMCET 2025 Medium