TS EAMCET · Maths · Permutation Combination
The number of ways of arranging 8 boys and 8 girls in a row so that boys and girls sit alternately is
- A 9 !
- B \((9 !)(8 !)\)
- C \((8 !)^2\)
- D \(2 !(8 !)^2\)
Answer & Solution
Correct Answer
(D) \(2 !(8 !)^2\)
Step-by-step Solution
Detailed explanation
We have, 8 boys and 8 girls. To tal number of arrangements of 8 boys and 8 girls. Sit altemately is \(8 ! \times 8 ! \times 2 !=2 !(8 !)^2\)
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 \(p, q\) are the eccentricities of the hyperbola \(\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\) and its conjugate hyperbola respectively, then the area of the square (in sq. units) formed by the points of intersection of the ellipse \(\frac{x^2}{p^2}+\frac{y^2}{q^2}=1\) and the pair of lines \(x^2-y^2=0\) isTS EAMCET 2020 Medium
- There are 10 points in a plane, of which no three points are collinear except 4 . Then, the number of distinct triangles that can be formed by joining any three points of these ten points, such that at least one of the vertices of every triangle formed is from the given 4 collinear points isTS EAMCET 2023 Medium
- The number of even numbers greater than 1000000 that can be formed using all the digits \(1,2,0,2,4,2\) and 4 isTS EAMCET 2019 Easy
- If \(P A\) and \(P B\) are the tangents drawn from the point \(P(1,1)\) to the circle \(x^2+y^2+g x+g y-2=0\) with \(C\) as the centre, then the area (in sq. units) of the quadrilateral \(P A C B\) isTS EAMCET 2020 Medium
- \(\frac{1}{2 !}+\frac{1+2}{3 !}+\frac{1+2+3}{4 !}+\ldots\) is equal to :TS EAMCET 2003 Medium
- \(\int \frac{d x}{(x-1)^{\frac{3}{4}}(x+2)^{\frac{5}{4}}}=\)TS EAMCET 2023 Hard
More PYQs from TS EAMCET
- The product of the length of perpendiculars from origin to the pair of lines isTS EAMCET 2021 Medium
- For all natural numbers \(n, 3\left(5^{2 n+1}\right)+2^{3 n+1}\) is divisible byTS EAMCET 2021 Medium
- Given \(\mathrm{E}^{\circ} \mathrm{Mn}^{7+} / \mathrm{Mn}^{2+}=1.51 \mathrm{~V}, \mathrm{E}_{\mathrm{Mn}^{\circ+} / \mathrm{Mn}^{2+}}=1.23 \mathrm{~V}\) Calculate \(\mathrm{E}^{\circ} \mathrm{Mn}^{7+} / \mathrm{Mn}^{4+}\)TS EAMCET 2022 Easy
- The acute angle between the pair of straight lines joining the origin to the points of intersection of the line \(x+y-1=0\) with the pair of straight lines \(k x^2+8 x y-3 y^2+2 x-4 y-1=0\) isTS EAMCET 2020 Hard
- If \(y=\tan ^{-1}\left[\frac{\sin ^3(2 x)-3 x^2 \sin (2 x)}{3 x \sin ^2(2 x)-x^3}\right]\), then \(\frac{d y}{d x}=\)TS EAMCET 2024 Medium
- If \(x_1, x_2, x_3\) are the real roots of the equation \(x^3-x^2 \tan \theta+x \tan ^2 \theta+\tan \theta=0\) and \(0 < \theta < \frac{\pi}{4}\), then the value of \(\tan ^{-1} x_1+\tan ^{-1} x_2+\tan ^{-1} x_3\) at \(\theta=\frac{\pi}{12}\) isTS EAMCET 2019 Hard