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If you list it out… most of the numbers will cancel each other out… see diagram.

So what’s left is… 

2/1  x   1/99   x 1/100

= 1 / (99 x 50)

= 1/ 4950 (ans)

 

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tq!

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After cancelling the same numerators and denominators : 3, 4, 5, …, 96, 97 and 98, we get :
(1 x 2)/(99 x 100) = 1/4950

Ans : 1/4950,

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