Question

Determine o binômio n=6 e p=2? a) 8 , b) 10, c) 15, d) 4

Answer 1

NÚMERO BINOMIAL:

$\displaystyle\binom{n}{p}=\dfrac{n!}{p!(n-p)!}.$

$\therefore$

$\displaystyle\binom{6}{2}=\dfrac{6!}{2!(6-2)!}=$

$=\dfrac{6\cdot5\cdot4!}{2!\cdot4!}=\dfrac{6\cdot5}{2!}=$

$=\dfrac{30}{2}=\underline{\boxed{15}}\,\leftarrow\,\text{alternativa c)}.$