\(20\) identical candies are to be distributed among \(20\) children.

The probability that exactly \(2\) children get no candies is of the form \(\dfrac{A}{B}\), where \(A\) and \(B\) are co-prime positive integers.

Find the digit sum of \(A+B\).

\(\textbf{Assumptions}\)

Any number of candies from those available can be given to any child.

Eg : Digit sum of \(55\) is \(10\).

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