Question

3 cards are drawn from a standard deck of 52 playing cards. How many different 3-card hands are possible if the drawing is done without replacement?

Answer 1

Since you start with 52 cards, and are drawing 3 cards you multiply 52 * 51 * 50 then divide that product by 3 * 2 because it doesn’t matter what order the cards are drawn in. 52 * 51 * 50/ 3 * 2 = 22,100 different combinations of 3 cards

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