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...

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.