A) \[\frac{10}{11}\]
B) \[\frac{1}{9}\]
C) \[\frac{1}{10}\]
D) \[\frac{1}{2}\]
Correct Answer: C
Solution :
\[\left( 1-\frac{1}{2} \right)\,\left( 1-\frac{1}{3} \right)\,\left( 1-\frac{1}{4} \right).....\left( 1-\frac{1}{10} \right)\] \[=\frac{1}{2}\times \frac{2}{3}\times \frac{3}{4}\times .....\times \frac{8}{9}\times \frac{9}{10}=\frac{1}{10}\]
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