Four Queens
A four-of-a-kind in the game of poker consists of four cards of the same value (four fives, four queens, etc.)?
plus one other card. How many different four-of-a-kind hands are possible?
use combinatorics
In a 52 card deck there are 13 ranks and 48 cards that can be used as a fifth card for each four of a kind.
Hence, 13*48 or 624 is the number of different five card hands that contain a four of a kind.
 |
 FOUR QUEENS LAS VEGAS 1 OCTOBER 2000 CASINO CHIP $2.95 Time Remaining: 2h 7m Buy It Now for only: $2.95 |
 LAS VEGAS FOUR QUEENSCOM HALLOWEEN 1 CHIP $2.95 Time Remaining: 2h 26m Buy It Now for only: $2.95 |
 Four Queens Casino Hotel Las Vegas Casino Silver Strike 10 Gaming Token 999 $22.50 Time Remaining: 10h 16m |
 Four Queens 5 Halloween Elvira 2002 Casino Chip $12.99 (1 Bid) Time Remaining: 12h 2m |
 Four Queens 100 $1.99 Time Remaining: 13h 1m |
 FOUR QUEENS CASINO 5 CHIP MEMORIAL DAY NEW UNC 2011 $9.95 Time Remaining: 14h 50m Buy It Now for only: $9.95 |
 Four Queens Casino Ash Tray $5.99 Time Remaining: 14h 57m Buy It Now for only: $9.99 |
 FOUR QUEENS LAS VEGAS 1998 LABOR DAY CASINO CHIP $6.99 Time Remaining: 14h 58m Buy It Now for only: $6.99 |
 FOUR QUEENS LAS VEGAS SPEEDWAY RACERS CASINO CHIP $7.49 Time Remaining: 15h 6m Buy It Now for only: $7.49 |
 FOUR QUEENS CASINO CHIPS NO CASH VALUE WIN CARD 1 CHIP LAS VEGAS NEVADA $5.00 Time Remaining: 16h 19m Buy It Now for only: $5.00 |
 500 Four Queens Las Vegas Nv Casino Chip Summer 2000 LTD $7.35 Time Remaining: 16h 24m |
 FOUR QUEENS CASINO 1995 MEMORIAL DAY 5 CHIP $6.99 Time Remaining: 16h 51m Buy It Now for only: $6.99 |
 Four Queens 1 Casino Poker Chip Downtown Las Vegas $5.49 Time Remaining: 17h 29m Buy It Now for only: $5.49 |
 FOUR QUEENS CASINO LAS VEGAS SEXY HIPPOLYTA SILVER STRIKE GAMING TOKEN COIN 999 $58.88 Time Remaining: 17h 33m Buy It Now for only: $58.88 |
 5 FOUR QUEENS 2000 FLAG DAY CHIP $7.00 Time Remaining: 17h 40m |
 Four Queens 5 Casino Chip Memorial Day 1995 Las Vegas $14.99 Time Remaining: 18h 35m Buy It Now for only: $14.99 |
 Four Queens Las Vegas 10 Casino Chip Showgirl Set of 4 $79.99 Time Remaining: 18h 45m Buy It Now for only: $79.99 |
 1 Chip FOUR QUEENS HOTEL CASINO Las Vegas SHARP CHIP $2.79 Time Remaining: 19h 18m |
 FOUR QUEENS CASINO 1999 HAPPY NEW YEAR 5 CHIP $7.49 Time Remaining: 19h 27m Buy It Now for only: $7.49 |
 5 Four Queens Las Vegas Casino Chip Real Millennium 01 $13.99 Time Remaining: 19h 33m Buy It Now for only: $13.99 |
 Four Queens Millenium Chip 500 $5.00 Time Remaining: 20h 14m |
 Four Queens Casino Chip 5 Kentucky Derby 1996Horse Racing Grindstone $9.99 Time Remaining: 20h 15m Buy It Now for only: $9.99 |
 FOUR QUEENS 999 SILVER RED CAP LTD 500 SEXY LADY LEPRECHAUNS ST PATRICKS $95.00 Time Remaining: 20h 59m |
 3 5 Poker chip Archie Moore 2 Joey Giambra limited to 500 each Four Queens $15.00 Time Remaining: 1d 3h 12m |
 VINTAGE FOUR QUEENS HOTEL CASINO CARDS COMPLETE RARE $3.00 Time Remaining: 1d 6h 55m Buy It Now for only: $14.99 |
 1 Casino token Four Queens Las Vegas NVB $2.99 Time Remaining: 1d 7h 11m |
 Four Queens Silver Slipper Las Vegas Ash Trays Lot of 2 Good Condition $4.00 Time Remaining: 1d 7h 44m Buy It Now for only: $6.00 |
 5 500 FOUR QUEENS NO VALUE CHIP CASINO LAS VEGAS NV $10.99 Time Remaining: 1d 8h 5m Buy It Now for only: $10.99 |
 RED CAP FOUR QUEENS 2007 DREAM CRUISE TEN DOLLAR TOKEN 999 FINE SILVER STRIKE $29.95 Time Remaining: 1d 8h 17m |
 A Players guide to the Roulette from the Four QueensLas Vegas $9.99 Time Remaining: 1d 8h 51m Buy It Now for only: $12.00 |
 A Players guide to the Black Jack from the Four QueensLas Vegas $9.99 Time Remaining: 1d 8h 51m Buy It Now for only: $12.00 |
 A Players guide to the Craps from the Four QueensLas Vegas $9.99 Time Remaining: 1d 8h 51m Buy It Now for only: $12.00 |
 FOUR QUEENS LAS VEGAS 1 FOUR QUEENS QUEENS BLUE CHIP $2.95 Time Remaining: 1d 9h 7m Buy It Now for only: $2.95 |
 FOUR QUEENS CASINO PAIR GREEN DICE MATCHED VEGAS USA $6.50 Time Remaining: 1d 9h 53m Buy It Now for only: $6.50 |
 FOUR QUEENS CASINO LAS VEGAS NEVADA ACE OF CLUBS SILVER STRIKE GAMING TOKEN COIN $58.88 Time Remaining: 1d 10h 35m Buy It Now for only: $58.88 |
 FOUR QUEENS CASINO LAS VEGAS QUEEN OF CLUBS SEXY LADY SILVER GAMING TOKEN COIN $49.99 Time Remaining: 1d 10h 43m Buy It Now for only: $49.99 |
 Four Queens Slot Coin Token Cup Las Vegas Hotel Casino $9.99 Time Remaining: 1d 10h 53m Buy It Now for only: $12.99 |
 VINTAGE FOUR QUEENS HOTEL CASINO LAS VEGAS NV ASHTRAY $9.99 Time Remaining: 1d 10h 59m Buy It Now for only: $12.99 |
 5 Four 4 Queens Casino Chip Archie Moore Boxer July 1996 Full Figure Las Vegas $6.60 Time Remaining: 1d 11h 19m |
 5 Four 4 Queens Casino Chip New Years Eve Day 1996 Champagne Bottle Las Vegas $6.41 Time Remaining: 1d 11h 19m |
 5 Four 4 Queens Casino Chip 1995 Kentucky Derby Downtown Las Vegas Horse Roses $6.41 Time Remaining: 1d 11h 19m |
 UNC Lot 4 5 Four Queens Casino Chip Speedway Racers Special Las Vegas Chips $26.55 Time Remaining: 1d 11h 19m |
 5 Four 4 Queens Casino Chip Happy New Years Eve 2008 Wishes you a Happy 2009 $6.60 Time Remaining: 1d 11h 19m |
 5 Four 4 Queens Tribute to Texas Casino Chip Remember The Alamo March 6 1836 $6.60 Time Remaining: 1d 11h 19m |
 5 Four 4 Queens UNC Casino Chip Happy Fathers Day 1 DAD June 17 2001 Red Car $6.60 Time Remaining: 1d 11h 19m |
 5 Four 4 Queens UNC Casino Chip 5 Year Anniversary Aug 2003 2008 Las Vegas Sign $6.60 Time Remaining: 1d 11h 19m |
 5 Four 4 Queens Casino Chip 1996 Kentucky Derby May 4 Las Vegas Horse Roses $6.41 Time Remaining: 1d 11h 19m |
 5 Four 4 Queens Casino Chip St Happy Valentines Day Feb 14th 2006 Pink Rose Red $6.60 (1 Bid) Time Remaining: 1d 11h 19m |
 5 Four 4 Queens Casino Chip 2002 St Patricks Day UNC Pot of Gold Las Vegas $6.45 Time Remaining: 1d 11h 19m |
 5 Four 4 Queens Casino Chip July 4th 2005 Fourth Independence Day Flag Vegas $6.41 Time Remaining: 1d 11h 19m |
 5 Four 4 Queens Casino Chip Happy Easter Sunday March 27 2005 Pink Bunny Vegas $6.60 Time Remaining: 1d 11h 19m |
 UNC 5 Four 4 Queens Casino Chip Happy Mothers Day May 14 2001 Las Vegas Roses $6.60 Time Remaining: 1d 11h 19m |
 5 Four 4 Queens Casino Chip UNC St Patricks Day March 17 2006 Las Vegas Clover $6.60 Time Remaining: 1d 11h 19m |
 UNC 5 Four Queens Casino Chip 1999 The Year of the Rabbit Chinese New Las Vegas $6.41 Time Remaining: 1d 11h 19m |
 5 Four 4 Queens Casino Chip Las Vegas Happy Halloween 2010 October 31 Wolf Moon $6.41 Time Remaining: 1d 11h 19m |
 5 Four 4 Queens Casino Chip UNC Happy Easter April 15 2001 Bunny Basket Eggs $6.60 Time Remaining: 1d 11h 19m |
 5 Four 4 Queens Casino Chip Happy Easter April 16th 2006 White Lilly Las Vegas $6.60 Time Remaining: 1d 11h 19m |
 5 Four 4 Queens Casino Chip 1995 Memorial Day Indy 500 Race Las Vegas Downtown $6.41 Time Remaining: 1d 11h 19m |
 UNC 5 Four 4 Queens Casino Chip Veterans Day November 11 2010 Flag Stars 383 $6.60 Time Remaining: 1d 11h 19m |
 5 Four 4 Queens Casino Chip UNC St Patricks Day 1999 Las Vegas Blackjack Dealer $6.60 Time Remaining: 1d 11h 19m |
 5 Four 4 Queens Casino Chip Happy Easter Greetings from the April 20 2003 Egg $6.60 Time Remaining: 1d 11h 19m |
 5 Four 4 Queens Casino Chip Happy New Years Eve 2009 2010 December 31 January 1 $6.60 Time Remaining: 1d 11h 19m |
 UNC 5 Four 4 Queens Casino Poker Chip Green Subaru WRX WR x 2003 Car Las Vegas $6.60 Time Remaining: 1d 11h 19m |
 5 Four 4 Queens Casino Chip Big Game Super Sunday Superbowl Jan 28 1996 Vegas $6.41 Time Remaining: 1d 11h 19m |
 5 Four 4 Queens Casino Chip 1996 Labor Day Downtown Las Vegas Man Hammock Poker $6.60 Time Remaining: 1d 11h 19m |
 5 Four 4 Queens Casino Chip July 4th 2007 Let Freedom Ring Liberty Bell Vegas $6.41 Time Remaining: 1d 11h 19m |
 5 Four 4 Queens Casino Chip Billy Sims Big Game Day Superbowl February 3 2008 $6.60 Time Remaining: 1d 11h 19m |
 5 Four 4 Queens Casino Chip 2004 Happy New Year UNC Las Vegas NV Ltd 500 $6.60 Time Remaining: 1d 11h 19m |
 UNC 5 Four 4 Queens Casinio Poker Chip Summer 2000 Bikini Sunset Girl Las Vegas $6.60 Time Remaining: 1d 11h 19m |
 5 Four 4 Queens Casino Chip July 4th 2003 Independence Day Flag Vegas Fireworks $6.60 Time Remaining: 1d 11h 19m |
 UNC 5 Four 4 Queens Casino Chip 1998 Memorial Day May 25 1998 The Indy 500 Flag $6.60 Time Remaining: 1d 11h 19m |
 5 Four 4 Queens Casino Chip 1995 Poker Classic Summer Edition II Las Vegas $6.60 Time Remaining: 1d 11h 19m |
 1 Four 4 Queens Casino Chip Las Vegas H C Mold Millennium 2000 official hotel $2.38 Time Remaining: 1d 11h 19m |
 5 Four 4 Queens Casino Chip Joey Giambra Boxer July 1996 Bust Las Vegas $6.60 Time Remaining: 1d 11h 19m |
 5 Four Queens Casino Poker Chip Merry Christmas December 25 2001 Las Vegas from $6.41 Time Remaining: 1d 11h 19m |
 UNC 5 Four 4 Queens Casino Chip 1999 Labor Day Five Dollars Flag Las Vegas 750 $6.60 Time Remaining: 1d 11h 19m |
 10 Four 4 Queens Tribute to Texas Casino Chip April 21 1836 Santa Ana Defeat $11.29 Time Remaining: 1d 11h 19m |
 250 Four 4 Queens Casino Chip The Real Millennium 2001 Hot Pink Las Vegas $6.85 Time Remaining: 1d 11h 19m |
 5 Four 4 Queens Casino Chip Las Vegas Queens Poker Classic 1996 TJ Cloutier $6.41 Time Remaining: 1d 11h 19m |
 5 Four 4 Queens Casino Chip Las Vegas Happy 4th of July 2006 Statue Liberty of $6.60 Time Remaining: 1d 11h 19m |
 5 Four 4 Queens Casino Chip 1995 Happy New Year Years Eve White Champagne Blue $6.60 Time Remaining: 1d 11h 19m |
 5 Four 4 Queens Casino Chip Veterans Day 2007 We will never forget Flag Vegas $6.60 Time Remaining: 1d 11h 19m |
 5 Four 4 Queens Casino Chip Presidents Day 2006 February 20 Washington Lincoln $6.60 Time Remaining: 1d 11h 19m |
 5 Four Queens Casino Chip Independence Day July 4 2002 4th Las Vegas White House $6.60 Time Remaining: 1d 11h 19m |
 5 Four 4 Queens Casino Chip Happy New Year Years Eve Day 2006 Las Vegas $6.60 Time Remaining: 1d 11h 19m |
 5 Four 4 Queens Casino Chip Joey Giambra Boxer July 1996 Full Figure Las Vegas $6.60 Time Remaining: 1d 11h 19m |
 5 Four Queens Las Vegas 101010 Limited Edition Chip $7.49 (2 Bids) Time Remaining: 1d 11h 33m |