Răspuns:
Explicație pas cu pas:
1/2*2/3*3/4*.....*49/50 = 1/50
[tex]\it \Big(1-\dfrac{1}{2}\Big)\cdot\Big(1-\dfrac{1}{3}\Big)\cdot\Big(1-\dfrac{1}{4}\Big)\cdot..........\cdot\Big(1-\dfrac{1}{50}\Big)[/tex]
[tex]\it \dfrac{2-1}{2}\cdot\dfrac{3-1}{3}\cdot\dfrac{4-1}{4}\cdot..........\cdot\dfrac{50-1}{50}[/tex]
[tex]\it \dfrac{1}{2}\cdot\dfrac{2}{3}\cdot\dfrac{3}{4}\cdot..........\cdot\dfrac{49}{50}[/tex]
[tex]\it\dfrac{1\cdot2\cdot3\cdot4\cdot.......\cdot49}{2\cdot3\cdot4\cdot5\cdot......\cdot50}[/tex]
[tex]\it\dfrac{1\cdot\not2\cdot\not3\cdot\not4\cdot\not.......\cdot\not49}{\not2\cdot\not3\cdot\not4\cdot\not5\cdot......\not\cdot50}[/tex]
[tex]\boxed{\it\dfrac{1}{50}}[/tex]