Kombinatorika

9000136901

Část: 
B
Součet \(\left({15\above 0.0pt 8} \right) +\left ({15\above 0.0pt 9} \right)\) je roven:
\(\left({16\above 0.0pt 9} \right)\)
\(\left({15\above 0.0pt 10}\right)\)
\(\left({15\above 0.0pt 7} \right)\)
\(\left({16\above 0.0pt 8} \right)\)
\(\left({30\above 0.0pt 17}\right)\)

9000136905

Část: 
B
Rozdíl \(\left({n\above 0.0pt 2} \right) -\left ({ n\above 0.0pt n-2}\right)\) je pro libovolné \(n\in \mathbb{N}\), \(n\geq 2\), roven:
\(0\)
\(\left (n + 2\right )\left (n + 1\right )\)
\(\left({n+2\above 0.0pt n} \right)\)
\(n^{2} - 1\)
\(\left({n\above 0.0pt n}\right)\)

9000136903

Část: 
B
Součet \(\left({4\above 0.0pt 0}\right) +\left ({4\above 0.0pt 1}\right) +\left ({4\above 0.0pt 2}\right) +\left ({4\above 0.0pt 3}\right) +\left ({4\above 0.0pt 4}\right)\) je roven:
\(4^{2}\)
\(14\)
\(\left({5\above 0.0pt 4}\right)\)
\(32\)
\(\left({8\above 0.0pt 4}\right)\)