If \(\sum_{r=0}^{25}\left\{{ }^{50} C_r \cdot{ }^{50-r} C_{25-r}\right\}=K\left({ }^{50} C_{25}\....

Channel:
PW Solutions
Subscribers:
449,000
Published on ● Video Link: https://www.youtube.com/watch?v=687P4o4yWys


Duration: 3:54
0 views
0

If \(\sum_{r=0}^{25}\left\{{ }^{50} C_r \cdot{ }^{50-r} C_{25-r}\right\}=K\left({ }^{50} C_{25}\right)\), then \(K\) is equal to šŸ“²PW App Link - https://bit.ly/YTAI_PWAP šŸŒPW Website - https://www.pw.live



Other Videos By PW Solutions


2024-06-28One vertex of the equilateral triangle with centroid at the origin and one side as x+y-2=0 ....
2024-06-28The equations of the lines which pass through the point (3,-2) and are inclined at 60° ....
2024-06-28If the coordinates of the middle point of the portion of a line intercepted between the coordina....
2024-06-28The distance between the lines y=mx+c1 and y=mx+c2 is....
2024-06-28The ratio in which the line 3x+4y+2=0 divides the distance between the lines 3x+4y+5=0....
2024-06-28If the line xa+yb=1 passes through the points (2,-3) and (4,-5) then (a, b) is....
2024-06-28The tangent of angle between the lines whose intercepts on the axes are a,-b and b,-a, respectiv....
2024-06-28Suppose det \(\left[\begin{array}{cc}\sum_{k=0}^n k & \sum^n{ }^n C_k k^2 \\ \sum_{k=0}^n{ }....
2024-06-28A line cutting of intercept -3 from the y-axis and the tangent at angle to the x-axis is 35; the....
2024-06-28\(C_1-C_3+C_5-\ldots=\)....
2024-06-28If \(\sum_{r=0}^{25}\left\{{ }^{50} C_r \cdot{ }^{50-r} C_{25-r}\right\}=K\left({ }^{50} C_{25}\....
2024-06-28If \(\sum_{i=1}^{20}\left(\frac{{ }^{20} C_{i-1}}{{ }^{20} C_i+{ }^{20} C_{i-1}}\right)^3=\frac{....
2024-06-28If the sum of the coefficients of all even powers of \(x\) in the product \(\left(1+x+x^2+\ldots....
2024-06-28The coefficient of \(x^7\) in the expression \((1+x)^{10}+x(1+x)^9\) \(+x^2(1+x)^8+\ldots \ldots....
2024-06-28Let \(n\) be a positive integer. Let\[A=\sum_{k=0}^n(-1)^{k n} C_k\left[\left(\frac{1}{2}\right)....
2024-06-28For integers \(n\) and \(r\), let \(\left(\begin{array}{l}n \\ r\end{array}\right)= \begin{cases....
2024-06-28If the sum of the co-efficients of all the positive even powers of \(x\) in the binomial expansi....
2024-06-28The maximum value of the term independent of ' \(t\) ' in the expansion of \(\left(t x^{\frac{1}....
2024-06-28If the coefficient of \(a^7 b^8\) in the expansion of \((a+2 b+4 a b)^{10}\) is \(K .2^{16}\), t....
2024-06-28\[\text { If } \sum_{k=1}^{31}\left({ }^{31} C_k\right)\left({ }^{31} C_{k-1}\right)-\sum_{k=1}^....
2024-06-28The coefficient of \(x^{101}\) in the expression \((5+x)^{500}+x(5+x)^{499}+x^2(5+x)^{498}+\ldot....