Question

Determine o valor da expressão 7! . 3!
_____:
2! . 6!

Answer 1

Olá, boa noite!

$\dfrac{7!\cdot3!}{2!\cdot6!}=\\\\7!=7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1=5040\\3!=3\cdot2\cdot1=6\\2!=2\cdot1=2\\6!=6\cdot5\cdot4\cdot3\cdot2\cdot1=720\\\\\dfrac{5040\cdot6}{720\cdot2}=\\\\\dfrac{30240}{1440}=\\\\\boxed{\boxed{\boxed{21}}}$


Espero ter ajudado.
Bons estudos! :)