AP EAMCET · Maths · Binomial Theorem
\({ }^{37} C_4+\sum_{r=1}^5(42-r)_{C_r}=\)
- A \({ }^{41} C_4\)
- B \({ }^{39} C_4\)
- C \({ }^{38} C_4\)
- D \({ }^{42} C_4\)
Answer & Solution
Correct Answer
(D) \({ }^{42} C_4\)
Step-by-step Solution
Detailed explanation
Given that, \[ \begin{aligned} & { }^{37} C_4+\sum_{r=1}^5{ }^{(42-r)} C_r \\ & ={ }^{37} C_4+{ }^{41} C_1+{ }^{40} C_2+{ }^{39} C_3+{ }^{38} C_3+{ }^{37} C_3 \\ & ={ }^{37} C_3+{ }^{37} C_4+{ }^{38} C_3+{ }^{39} C_3+{ }^{40} C_3+{ }^{41} C_3 \end{aligned} \] As we know,…
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
- \(A=\left[\begin{array}{lll}1 & 2 & 2 \\ 2 & 1 & 2 \\ 2 & 2 & 1\end{array}\right]\) then \(A^3-4 A^2-6 A\) is equal to :AP EAMCET 2006 Medium
- Find the angle between the planes \(x+2 y+2 z-5=0\) and \(3 x+3 y+2 z-8=0\)AP EAMCET 2020 Easy
- Find the absolute maximum of \(x^{40}-x^{20}\) on the interval \([0,1]\).AP EAMCET 2021 Hard
- AP EAMCET 2019 Medium
- If \(O\) is the origin and \(A\) and \(B\) are points on the line \(3 x-4 y+25=0\) such that \(\mathbf{O A}=\mathbf{O B}=13\), then the area of \(\triangle O A B\) (in sq units) isAP EAMCET 2019 Easy
- If \(x+y=k, x>0, y>0\), then \(x^2+y^2\) is minimum, ifAP EAMCET 2022 Easy
More PYQs from AP EAMCET
- of a gas at occupies a volume of . At what temperature will the volume be doubled, if pressure and amount of the gas remains constant?AP EAMCET 2020 Easy
- Let \(f(x)=\left\{\begin{array}{l}|x|,-\infty < x < 2 \\ |2 x-4|, 2 \leq x \leq 20\end{array}\right.\) \(x=a\) is a point where \(f(x)\) is continuous but not differentiable and \(x=b\) is a point where \(f(x)\) is not differentiable \((a \neq b)\). Then, \(a+b=\)AP EAMCET 2022 Easy
- \((-i+\sqrt{3})^{300}+(-i-\sqrt{3})^{300}=\)AP EAMCET 2020 Medium
- If \(\int \sqrt{\frac{2}{1+\sin x}} d x=2 \log |A(x)-B(x)|+C\) and \(0 \leq x \leq \frac{\pi}{2}\) then \(B\left(\frac{\pi}{4}\right)=\)AP EAMCET 2024 Hard
- If \(\left|\frac{x^2+k x+1}{x^2+x+1}\right| < 3\) for all real \(x\), then \(k\) is in the intervalAP EAMCET 2017 Easy
- The shortest wavelength of -rays emitted from an -ray tube depends uponAP EAMCET 2021 Medium