I n the game of poker played with an ordinary deck of 52 cards various five-card holdings are given special names.  The name "three of a kind" is reserved for a holding that meets the following rule: Three cards of the same denomination and two other cards of different denominations. The number of distinct "three of a kind" that can be drawn from a 52-card deck can be calculated with the following product expression: (131)(43)(122)(41)2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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n the game of poker played with an ordinary deck of 52 cards various five-card holdings are given special names.  The name "three of a kind" is reserved for a holding that meets the following rule:

Three cards of the same denomination and two other cards of different denominations.

The number of distinct "three of a kind" that can be drawn from a 52-card deck can be calculated with the following product expression:

(131)(43)(122)(41)2

In the game of poker played with an ordinary deck of 52 cards various five-card holdings are given
special names. The name "three of a kind" is reserved for a holding that meets the following rule:
Three cards of the same denomination and two other cards of different denominations.
The number of distinct "three of a kind" that can be drawn from a 52-card deck can be calculated
with the following product expression:
2
() () ²
Explain what each of the factors in the expression represents in terms of selections from the deck of
cards. Follow the examples given in slides 8-10 of the lecture Section 9.5 Combinations.pdf ↓.
Transcribed Image Text:In the game of poker played with an ordinary deck of 52 cards various five-card holdings are given special names. The name "three of a kind" is reserved for a holding that meets the following rule: Three cards of the same denomination and two other cards of different denominations. The number of distinct "three of a kind" that can be drawn from a 52-card deck can be calculated with the following product expression: 2 () () ² Explain what each of the factors in the expression represents in terms of selections from the deck of cards. Follow the examples given in slides 8-10 of the lecture Section 9.5 Combinations.pdf ↓.
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