Ecuaciones e Inecuaciones Combinatorias

Enviado por ladislav.foltyn el Vie, 03/01/2019 - 12:38

Project ID:

5000000029

Accepted:

SubArea:

Template:

Question:

\small Para cada una de las ecuaciones e inecuaciones dadas, donde

x

es un entero positivo, elige el conjunto de soluciones correctas. (No uses una calculadora.)

Question Row 1:

(\binom{9}{5}) = (\binom{9}{x})

Answer Row 1:

{4}

{5}

{9}

, *

{4; 5}

\emptyset

Question Row 2:

(x + 1)! < 6 x!

Answer Row 2:

{4}

{5}

, *

{1; 2; 3; 4}

{1; 2; 3; 4; 5}

\emptyset

Question Row 3:

(\binom{x}{3}) + (\binom{x}{2}) + (\binom{x}{1}) = 9 x

Answer Row 3:

{7}

{8}

{- 7; 7}

{7; 8}

\emptyset

Question Row 4:

(\binom{x + 1}{x - 1}) \leq 15

Answer Row 4:

{5}

{6}

{- 6; 5}

, *

{1; 2; 3; 4; 5}

\emptyset

Question Row 5:

7 x! - 6 = {(x!)}^{2}

Answer Row 5:

{1}

{3}

, *

{1; 3}

{0; 1; 3}

\emptyset

Question Row 6:

5 - (\binom{x}{2}) \geq (\binom{x + 2}{x + 1})

Answer Row 6:

{2}

{3}

{0; 1; 2}

{- 3; - 2; - 1; 0; 1; 2}

\emptyset

Question Row 7:

$\scriptstyle 4\frac{x!}{(x-2)!}-2x=3\binom{x+1}2$

Answer Row 7:

{3}

{9}

{11}

{0; 3}

\emptyset

Question Row 8:

3 (\binom{x + 1}{2}) - x > 2 \frac{x!}{(x - 2)!}

Answer Row 8:

{5}

{0; 5}

, *

{2; 3; 4}

{1; 2; 3; 4}

\emptyset

Tex:

%tiket 32663 \MsrTabulka[2pt]{0.15\linewidth}{0.75\linewidth} \pocetsloupcu{5}

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