Question

me ajudem pelo amor de Deus Deus ​

Answer 1

item a)

$\displaystyle \frac{6! \ .\ 3! }{4! \. \ 2!\ }}=\frac{6.5.4! \ .\ 3.2! \ }{4! \ . \ 2! } =90$

logo :

$\huge\boxed{\displaystyle \frac{6! \ .\ 3! }{4! \ . \ 2! } =90}} \checkmark$

item b)

$\displaystyle \frac{6! \ .\ 3! }{4! }}=\frac{6.5.4! \ .\ 3.2.1 \ }{4! } =180$

$\huge\boxed{\displaystyle \frac{6! \ .\ 3! }{4! } =180}\checkmark$

item c)

$\displaystyle \frac{6! }{4! } = \frac{6.5.4! }{4 !} = 30$

$\huge\boxed{\displaystyle \frac{6! }{4! } = 30}\checkmark$

item d)

$\displaystyle \frac{7! }{5! } = \frac{7.6.5! }{5 !} = 42$

$\huge\boxed{\displaystyle \frac{7! }{5! } = 42}\checkmark$