Question

FATORIAL DESSE EXERCÍCIO
3!5!/4!6!

Answer 1

Sabemos que:
3! = 1 . 2 . 3 = 6 ;
4! = 1 . 2 . 3 . 4 = 24 ;
5! = 1 . 2 . 3 . 4 . 5 = 120 ; e
6! = 1 . 2 . 3 . 4 . 5 . 6 = 720 ;

Entenda que:
4! = 3! . 4 ;
5! = 4! . 5 ; e
6! = 5! . 6 ;

Logo:
3! . 5! / 4! . 6! = 3! . 5! / 3! . 4 . 5! . 6
3! . 5! / 4! . 6! = 1 / 4 . 6
3! . 5! / 4! . 6! = 1 / 24

Resposta: 3! 5! / 4! 6! = 1 / 24

Answer 2

3! 5!/4!6! =

3! 4!/4.3!6.5! = 
1/24