\[
\text { If } \frac{\left[\begin{array}{r}
{ }^{n} C_{r}+4 \cdot{...
\[
\text { If } \frac{\left[\begin{array}{r}
{ }^{n} C_{r}+4 \cdot{ }^{n} C_{r+1}+6 \cdot{ }^{n} C_{r+2} \\
+4 \cdot{ }^{n} C_{r+3}+{ }^{n} C_{r+4}
\end{array}\right]}{\left[\begin{array}{r}
{ }^{n} C_{r}+3 \cdot{ }^{n} C_{r+1}+3 \cdot{ }^{n} C_{r+2} \\
+{ }^{n} C_{r+3}
\end{array}\right]}=\frac{n+\lambda}{r+\lambda}
\]
P
W)
the value of \( \lambda \) is
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