+0  
 
0
5
3
avatar+1827 

Write the following expression as a single combination $\binom{n}{k}$ so that $k \neq 1$ and $n-k \neq 1.$
\binom{3}{1} + \binom{3}{2} = ?

 Oct 12, 2023
 #1
avatar+671 
-2

The expression (kn​)+(n−kn​) is always equal to (kn+1​), which can be proven using Pascal's identity. Therefore, \begin{align*} \binom{3}{1} + \binom{3}{2} &= \binom{3 + 1}{1} \ &= \boxed{\binom{4}{1}}. \end{align*}

 Oct 12, 2023
 #2
avatar+33616 
0

The question specifies that \(k \ne 1\) 

Alan  Oct 12, 2023
 #3
avatar+129245 
+1

****

 

 

cool cool cool

.
 Oct 12, 2023
edited by CPhill  Oct 12, 2023

4 Online Users

avatar