# Candy Delight!

Discrete Mathematics Level pending

$$20$$ 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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