ordinary deck of 52 cards various five-card holdings are given special names. The name "two pairs" is reserved for a holding that meets the following rule: Two cards of one denomination, two cards of a second denomination, and a fifth card of a third denomination. The number of distinct "two pairs" that can be drawn from deck of 52 cards can be calculated with the following product expression: Explain what each of the factors in the expression represents in terms of selections from the deck of cards.
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DISCRETE MATHEMATICS
In the game of poker played with an ordinary deck of 52 cards various five-card holdings are given special names. The name "two pairs" is reserved for a holding that meets the following rule:
Two cards of one denomination, two cards of a second denomination, and a fifth card of a third denomination.
The number of distinct "two pairs" that can be drawn from deck of 52 cards can be calculated with the following product expression:
Explain what each of the factors in the expression represents in terms of selections from the deck of cards.
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