Lista de exercícios do ensino médio para impressão
Calcular o valor das expressões:
a)
$\phantom{X}\dbinom{12}{0}\,+\,\dbinom{12}{1}\,+\,\dbinom{12}{2}\,+\;...\;+\,\dbinom{12}{12}\,=\phantom{X}$
b)
$\phantom{X}\dbinom{2}{2}\,+\,\dbinom{3}{2}\,+\,\dbinom{4}{2}\,+\,\dbinom{5}{2}\,+\,\dbinom{6}{2}\,+\,\dbinom{7}{2}\,=\,$
c)
$\phantom{X}\dbinom{2}{0}\,+\,\dbinom{3}{1}\,+\,\dbinom{4}{2}\,+\,\dbinom{5}{3}\,+\,\dbinom{6}{4}\,+\,\dbinom{7}{5}\,=\phantom{X}$
d)
$\phantom{X}\dbinom{5}{0}\,+\,\dbinom{6}{1}\,+\,\dbinom{7}{2}\,+\,\dbinom{8}{3}\,=\phantom{X}$

 



resposta: a) $2^{12}$ = 4096 (linha) b) 56 (coluna) c) 56 (diagonal) d) 84 (diagonal)
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