Project ID:
5000000004
Accepted:
Template:
Question:
Bez kalkulačky zjednodušte a vypočítajte nasledujúce výrazy pre $n\in\mathbb N$. Pre každý výraz vyberte v tabuľke jeho správnu hodnotu. Ak v tabuľke hodnota nie je, tak označte X.
Answer Header 1:
1
Answer Header 2:
2
Answer Header 3:
3
Answer Header 4:
4
Answer Header 5:
5
Answer Header 6:
6
Answer Header 7:
7
Answer Header 8:
X
Question Row 1:
$\frac {3}{(4-4)!}$
Answer Row 1:
3
Question Row 2:
$\frac{5!-4!}{2\cdot 3!}$
Answer Row 2:
8
Question Row 3:
$\frac{6! + 2\cdot 5! - 15 \cdot 3!}{5!+4!+5\cdot 3!} $
Answer Row 3:
5
Question Row 4:
$\frac{n!}{(n-2)!} - \frac{2(n+1)!}{(n-1)!}+\frac{(n+2)!}{n!} $, $n\neq 1$
Answer Row 4:
2
Question Row 5:
$\frac{n^2-4}{(n+2)!}+\frac{3}{(n+1)!}-\frac 1{n!}$
Answer Row 5:
8
Question Row 6:
$ \binom 42 $
Answer Row 6:
6
Question Row 7:
$\binom 73 - \binom 86 $
Answer Row 7:
7
Question Row 8:
$2\cdot \binom 92 - 6\cdot \binom 63 + \binom 84 - \binom 75$
Answer Row 8:
1
Tex:
\MsrTabulka[1pt]{0.45\linewidth}{0.55\linewidth}
\pocetsloupcu{8}