Question

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

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Answer 1

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

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

\(=\frac{1}{5}\)

Answer 2

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

\(\Leftrightarrow=\frac{1}{2}x\frac{2}{3}x\frac{3}{4}x\frac{4}{5}\)

\(\Leftrightarrow=\frac{1x2x3x4}{2x3x4x5}\)

\(\Leftrightarrow=\frac{1}{5}\)