AP EAMCET · Maths · Permutation Combination
There are 10 points on the line \(A B\) excluding \(A\) and \(B\) and 8 points on \(A C\) excluding \(A\) and \(C\). Number of triangles formed with these points not considering \(A, B\) and \(C\) is
- A \({ }^{18} C_3-{ }^{10} C_3\)
- B \(360\)
- C \(640\)
- D \(280\)
Answer & Solution
Correct Answer
(C) \(640\)
Step-by-step Solution
Detailed explanation
There are 10 point on \(A B\) and 8 point on \(A C\). \(\therefore\) Total number of triangle formed is \(\begin{aligned} & { }^{18} C_3-{ }^{10} C_3-{ }^8 C_3 \\ & =816-120-56=640\end{aligned}\)
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
- Find the equation of the plane passing through the point and perpendicular to the planes andAP EAMCET 2021 Easy
- The mean deviation from the mean of the set of observations, isAP EAMCET 2021 Easy
- If the pairs of straight lines \(x^2-2 q x y-y^2=0\) and \(x^2-2 p x y-y^2=0\) bisect the angles between each other, then which of the following is correct?AP EAMCET 2020 Easy
- \[
\lim _{n \rightarrow \infty} \sum_{n=5}^{5 n+5} \frac{n^2}{2^{\frac{3}{2}}}=
\]AP EAMCET 2018 Easy - The probability of choosing randomly a number \(c\) from the set \(\{1,2,3, \ldots, 9\}\) such that the quadratic equation \(x^2+4 x+c=0\) has real roots isAP EAMCET 2009 Easy
- If \(\log y\) is an integrating factor of \(\frac{d x}{d y}+P(y) x=Q(y)\), then \(\mathrm{P}(\mathrm{y})=\)AP EAMCET 2023 Easy
More PYQs from AP EAMCET
- The point dividing the join of \((3,-2,1)\) and \((-2,3,11)\) in the ratio \(2: 3\) isAP EAMCET 2010 Easy
- The angle between the pair of tangents drawn from to the circle isAP EAMCET 2020 Medium
- The value of \(5 \cos \theta+3 \cos \left(\theta+\frac{\pi}{3}\right)+3\) lies betweenAP EAMCET 2024 Medium
- The number of all four digit numbers which do not have four distinct digits isAP EAMCET 2017 Medium
- A message signal of frequency \(14 \mathrm{kHz}\) is used to modulate a carrier of frequency \(900 \mathrm{kHz}\), then the frequencies of side bands areAP EAMCET 2023 Easy
- Let \(X\) be a random variable such that \(X(x)\) is the number of heads in \(X\) for each \(x \in \mathbf{S}\), where \(S\) is the sample space of random experiment of tossing three fair coins simultaneously. Find the value of \(\rho\left(X^{-1}(2)\right)\).AP EAMCET 2020 Easy