O triângulo de Pascal é formado da seguinte maneira:
!$ 1\\1\,\,1\\1\,\,2\,\,1\\1\,\,3\,\,3\,\,1\\1\,\,4\,\,6\,\,4\,\,1\\1\,\,5\,\,10\,\,10\,\,5\,\,1\\1\,\,6\,\,15\,\,20\,\,15\,\,6\,\,1\\1\,\,7\,\,x\,\,y\,\,z\,\,21\,\,7\,\,1 !$
Dessa forma, o valor de x + y + z é: