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A deck of playing cards has 52 = 4 × 13 cards: there are 4 suits...

A deck of playing cards has 52 = 4 × 13 cards: there are 4 suits (two red and two black) and 13 cards in each suit. How many 3-card hands of the following types are there?

(1) All 3 of the same suit? (

2) All 3 cards of different suits?

(3) All 3 cards of different value ?

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