^^Il numero di combinazioni. Contare le combinazioni.

 

 

  
*            
  *          
  * *        
  *   *      
  * * * *    
          *  
            *

There are as many yellow dots above the bottom row of the triangle as there are pairs of  gray dots on the bottom row.

To see this, note that every yellow dot determines a pair of  gray dots by projecting it down to the left and to the right. Conversely, you can go up from any pair of  gray dots up to a yellow dot.
 

 

Links

Numeri triangolari.