AP EAMCET · Maths · Permutation Combination
The solution set of \({ }^5 C_{x-1}>2 \cdot\left({ }^5 C_x\right)\) is
- A \(\{1,2,5\}\)
- B \(\{2,3,5\}\)
- C \(\{5\}\)
- D \(\{1,3,5\}\)
Answer & Solution
Correct Answer
(C) \(\{5\}\)
Step-by-step Solution
Detailed explanation
\({ }^5 C_{x-1}>2 \cdot{ }^5 C_x\) Inequality defines, when \(x-1>0 ; \therefore x-1\) and \(x\) are positive integers \[ \begin{aligned} & x>0 \\ & x-1 2 \cdot{ }^5 C_x\)…
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
- If the volume of parallelopiped with conterminus edges \(4 \hat{\mathbf{i}}+5 \hat{\mathbf{j}}+\hat{\mathbf{k}},-\hat{\mathbf{j}}+\hat{\mathbf{k}}\) and \(3 \hat{\mathbf{i}}+9 \hat{\mathbf{j}}+p \hat{\mathbf{k}}\) is 34 cubic units, then \(p\) is equal to :AP EAMCET 2006 Medium
- The foot of perpendicular from \((5,7,3)\) to the join of \((9,13,15)\) and \((12,21,10)\) isAP EAMCET 2020 Easy
- The coefficient of \(x^{50}\) in the expansion of \((1+x)^{100}+2 x(1+x)^{99}+3 x^2(1+x)^{98}+\) \(+101 x^{100}\), isAP EAMCET 2018 Medium
- \(P\) is a point denoting \(z\) in the argand diagram and if \(\frac{z-i}{z-1}\) is always purely imaginary, then locus of \(P\) isAP EAMCET 2018 Medium
- If \(\int \frac{x^{\frac{1}{2}}}{\sqrt{a^3-x^3}} d x=P(x)+c\), then \(\mathrm{P}(x)=\)AP EAMCET 2018 Medium
- If the slope of one of the lines represented by \(2 x^2+3 x y+k y^2=0\) is 2, then the angle between the pair of lines isAP EAMCET 2017 Medium
More PYQs from AP EAMCET
- The self-inductance of a coil is \(50 \mathrm{mH}\). When a current of 1 A passing through the coil, reduces to zero at a steady rate in \(0.1 \mathrm{~s}\), then find the self-induced emf.AP EAMCET 2021 Medium
- If \(a, b\) and \(c\) are the roots of \(x^3+4 x+1=0\), then \(\frac{1}{a+b}+\frac{1}{b+c}+\frac{1}{c+a}=\)AP EAMCET 2018 Medium
- The point of intersection of the lines represented by \(\mathbf{r}=(\hat{\mathbf{i}}+2 \hat{\mathbf{j}}-\hat{\mathbf{k}})+\lambda(2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}+4 \hat{\mathbf{k}})\) and \(\mathbf{r}=(-\hat{\mathbf{i}}-3 \hat{\mathbf{j}}+7 \hat{\mathbf{k}})+\mu(\hat{\mathbf{i}}+2 \hat{\mathbf{j}}-\hat{\mathbf{k}})\) isAP EAMCET 2019 Easy
- A plane electromagnetic wave of frequency 25 MHz propagates in vaccum along positive x -direction. At a particular point in space and time, if the electric field is \(6.3 \hat{\mathrm{j}} \mathrm{Vm}^{-1}\), then the magnitude of the magnetic field of the wave at this point at the same time isAP EAMCET 2025 Easy
- A matrix whose elements \(a_{i j}\) are defined by
\(a_{i j}=\frac{1}{3}|i-5 j|, i, j=1,2,3 \text { is }\)AP EAMCET 2023 Easy - Assertion (A) : Noble gases have very low boiling points.Reason (R) : All noble gases have general electronic configuration of \(ns^2\ np^6\) (except He).AP EAMCET 2015 Medium