Let \( X \) be a set with exactly 5 elements and \( Y \) be a set with exactly 7 elements. If \(... VIDEO
Let \( X \) be a set with exactly 5 elements and \( Y \) be a set with exactly 7 elements. If \( \alpha \) is the number of one-one functions from \( X \) to \( Y \) and \( \beta \) is the number of onto functions from \( Y \) to \( X \), then the value of \( \frac{1}{5 !}(\beta-\alpha) \) ishttps://bit.ly/YTAI_PWAP https://www.pw.live
Other Videos By PW Solutions 2023-06-08 \[
50 \tan \left(3 \tan ^{-1}\left(\frac{1}{2}\right)+2 \cos ^{-1}\left(\frac{1}{\sqrt{5}}\right... 2023-06-08 Number of integral values of \( K \) for which the system of equations;
\[
\begin{array}{l}
\cos... 2023-06-08 If \( 0x\frac{1}{\sqrt{2}} \) and \( \frac{\sin ^{-1} x}{\alpha}=\frac{\cos ^{-1} x}{\beta} \), ... 2023-06-08 Let \( x * y=x^{2}+y^{3} \) and \( (x * 1) * 1=x *(1 * 1) \). Then a value of \( 2 \sin ^{-1}\le... 2023-06-08 Consider \( f(x)=|x-1|+|2 x-\pi|+|x-3| \) and \( g(x)=\sin ^{-1} x+\tan ^{-1} x \). The value of... 2023-06-08 Consider two geometric progressions \( a_{1}, a_{2}, a_{3}, \ldots, a_{n} \& b_{1} \), \( b_{2},... 2023-06-08 Find the number of integers in the domain of \( f(x)=\frac{1}{\sqrt{\ln \cos ^{-1} x}} \) 2023-06-08 \( \begin{array}{l}\tan ^{-1}\left[\frac{3 \sin 2 \alpha}{5+3 \cos 2 \alpha}\right]+\tan ^{-1}\l... 2023-06-08 For \( k \in \mathbb{R} \), let the solutions of the equation
\[
\cos \left(\sin ^{-1}\left(x \c... 2023-06-08 The number of pair solution \( (x, y) \) of the equation \( 1+x^{2}+ \) \( 2 x \sin \left(\cos ^... 2023-06-08 Let \( X \) be a set with exactly 5 elements and \( Y \) be a set with exactly 7 elements. If \(... 2023-06-08 If \( \Delta_{1}=\left|\begin{array}{lll}x & b & b \\ a & x & b \\ a & a & x\end{array}\right| \... 2023-06-08 If \( y=\left|\begin{array}{ccc}\sin x & \cos x & \sin x \\ \cos x & -\sin x & \cos x \\ x & 1 &... 2023-06-08 If \( D_{1}=\left|\begin{array}{ccc}y^{5} z^{6}\left(z^{3}-y^{3}\right) & x^{4} z^{6}\left(x^{3}... 2023-06-08 If \( \Delta_{r}=\left|\begin{array}{ccc}r-1 & n & 6 \\ (r-1)^{2} & 2 n^{2} & 4 n-2 \\ (r-1)^{3}... 2023-06-08 Suppose, \( n, m \) are natural number and
\[
f(x)=\left|\begin{array}{ccc}
1 & (1+x)^{m} & (1+m... 2023-06-08 Let \( \Delta=\left|\begin{array}{ccc}1 & x & x^{2} \\ x^{2} & 1 & x \\ x & x^{2} & 1\end{array}... 2023-06-08 If \( D \) is a determinant of order three and \( \Delta \) is a determinant formed by the cofac... 2023-06-08 If \( \alpha, \beta \) and \( \gamma \) are the roots of the equation \( x^{3}+p x+q=0 \), then ... 2023-06-08 If \( \left|\begin{array}{ll}n_{1} & n_{2} \\ n_{2} & n_{1}\end{array}\right|=2022\left(n_{1}, n... 2023-06-08 If \( [x] \) stands for the greatest integer less than or equal to \( x \), then the value of \(...
0