Question

Tính bằng cách thuận tiện nhất 

(1-1/2)*(1-1/3)*(1-1/4)*(1-1/5)*(1-1/6)

 

Answer 1

(1-1/2)x(1-1/3)x(1-1/4)x(1-1/5)x(1-1/6)

=1/2x2/3x3/4x4/5x5/6

=1/6

Answer 2

\(\left(1-\frac{1}{2}\right)\times\left(1-\frac{1}{3}\right)\times\left(1-\frac{1}{4}\right)\times\left(1-\frac{1}{5}\right)\times\left(1-\frac{1}{6}\right)\)

\(=\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}\times\frac{4}{5}\times\frac{5}{6}\)

\(=\frac{1\times2\times3\times4\times5}{2\times3\times4\times5\times6}=\frac{1}{6}\)

Answer 3

=\(\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}\times\frac{4}{5}\times\frac{5}{6}\)

=1\(\times\frac{1}{6}\)

=\(\frac{1}{6}\)

Answer 4

Trl:

\(\left(1-\frac{1}{2}\right).\left(1-\frac{1}{3}\right).\left(1-\frac{1}{4}\right).\left(1-\frac{1}{6}\right)\)

\(=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}.\frac{4}{5}.\frac{5}{6}\)

\(=1.\frac{1}{6}\)

\(=\frac{1}{6}\)