Question

Resolva as operações com fatorial
A. 50! : 47! X 5!
B. 48! +49! : 50!

Answer 1

Resposta:

A. $\frac{50!}{47! \times 5!} = \frac{50\cdot49\cdot48\cdot47!}{47! \times 5\cdot4\cdot3\cdot2\cdot1} = \frac{50\cdot49\cdot48}{5\cdot4\cdot3\cdot2\cdot1} = 5\cdot49\cdot4 = 980$

B. $\frac{48! + 49!}{50!} = \frac{48! + 49\cdot48!}{50\cdot49\cdot48!} =\frac{48!\cdot(1+49) }{50\cdot49\cdot48!} =\frac{48!\cdot50}{50\cdot49\cdot48!} = \frac{1}{49}$