Question

Número combinatorio. RESOLVER URGENTE​

Answer 1

Respuesta:

 $E =\frac{2}{7}$

Explicación paso a paso:

$C_{19 , 4 } = \frac{19!}{4! (19 -4 )!}} =\frac{19!}{4! 15!} =\frac{19x18x17x16x15!}{4x3x2x1x15!} = \frac{93024}{24} =3876$

$C_{19,5} =\frac{19!}{5! (19-5)!} =\frac{19!}{5! 14!} = \frac{19x18x17x16x15x14!}{5x4x3x2x1x14!} = \frac{1395360}{120} = 11628$

$C_{21,6} = \frac{21!}{6! (21-6)!} = \frac{21!}{6! 15!} = \frac{21x20x19x18x17x16x15!}{6x5x4x3x2x1x15!} = \frac{39070080}{720} = 54264$

E = $\frac{3876+ 11628}{54264} = \frac{15504}{54264} = \frac{2}{7}$

$E = \frac{2}{7}$