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Five cards are dealt from a standard 52-card pack. How many hands contain exactly one pair (two cards of one rank and three cards of three other, different ranks)?

Competition practicePermutations & Combinations
  • A1098240
  • B123552
  • C3294720
  • D549120

Step-by-Step Solution

Rank of the pair: 13; its 2 suits: . The three other ranks: ; a suit for each: . (3294720 picks the three single ranks in order.)
Answer: A) 1098240

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