Respuesta :
That would be the number of combinations of 6 from 10 multiplied by number combinations of 4 from 10.
10C6 * 10C4
and as 10C6 = 10C4 this
= (10C4)^2
= [(10*9*8*7) / (4*3*2*1)^2
= 210^2 = 44,100 answer
10C6 * 10C4
and as 10C6 = 10C4 this
= (10C4)^2
= [(10*9*8*7) / (4*3*2*1)^2
= 210^2 = 44,100 answer
[tex]\displaystyle
\binom{10}{6}\cdot\binom{10}{4}=\dfrac{10!}{6!4!}\cdot\dfrac{10!}{4!6!}=\dfrac{7\cdot8\cdot9\cdot10}{2\cdot3\cdot4}\cdot\dfrac{7\cdot8\cdot9\cdot10}{2\cdot3\cdot4}=\\
=210\cdot210=44100[/tex]