# And we'll never be royals (ROYALS)

Discrete Mathematics Level 2

From a complete deck of cards (jokers not included) five cards are drawn to form a poker hand. The probability that the hand will be a royal flush is expressed as $$\frac{p}{q}$$ wherein p and q are coprime. Find the last three digits of p + q.

Note: A hand is considered royal flush if if contains the cards 10, J, Q, K, and A all in the same suit.

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