Exercício sobre análise combinatória

Completar as igualdades abaixo:

$\,\dbinom{0}{0}\;=\;\dbinom{1}{0}\;=\;\dbinom{2}{0}\;=\;...\;=\;\dbinom{n}{0}\;=\;$

$\,\dbinom{0}{0}\;=\;\dbinom{1}{1}\;=\;\dbinom{2}{2}\;=\;...\;=\;\dbinom{n}{n}\;=\;$

$\,\dbinom{7}{3}\;+\;\dbinom{7}{4}\;=\;$

resposta: a) 1 b) 1 c) $\,\dbinom{8}{4}\,=\,70\,$ (relação de Stifel: $\binom{n}{k}\,+\,\binom{n}{k+1}\,=\,\binom{n+1}{k+1}$)
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