Processing math: 100%
 
+0  
 
0
16
3
avatar+1926 

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+789 
-2

The expression (kn​)+(n−kn​) is always equal to (kn+1​), which can be proven using Pascal's identity. Therefore, (31)+(32)=(3+11) =(41).

 Oct 12, 2023
 #2
avatar+33654 
0

The question specifies that k1 

Alan  Oct 12, 2023
 #3
avatar+130466 
+1

****

 

 

cool cool cool

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

1 Online Users