Question

The value of $\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)\left(1-\frac{1}{4}\right).........\left(1-\frac{1}{10}\right)=$ ___________.

• A. $\frac{10}{11}$
• B. $\frac{1}{9}$
• C. $\frac{1}{10}$
• D. $\frac{1}{2}$

Answer 1

The correct option is C $\frac{1}{10}$

$(1-\frac{1}{2})(1-\frac{1}{3})(1-\frac{1}{4})..........(1-\frac{1}{10})$

$\Rightarrow$ $\frac{1}{2}\times \frac{2}{3}\times \frac{3}{4}......\times \frac{8}{9}\times \frac{9}{10}$

$\Rightarrow$ $\frac{1}{10}$