The United States captain Davis Love will name his fourth and final wild card on September 25.
Here, we look at the players who will definitely face off against Europe in the Ryder Cup:
AUTOMATIC QUALIFIERS
DUSTIN JOHNSON
Age 32
Caps 2 (2010, 2012)
Record Won 4 Lost 3 Halved 0
Majors 1 (US Open 2016)
Finally claimed an overdue major title with victory in the US Open at Oakmont in June, despite being penalised a shot in the final round when he was adjudged to have caused his ball to move on the fifth green. Won just one of his four matches in 2010 but all three in 2012, only to miss the 2014 contest at Gleneagles due to taking a "leave of absence" from the game.
JORDAN SPIETH
Age 23
Caps 1 (2014)
Record W2 L1 H1
Majors 2 (Masters 2015, US Open 2015)
Shot to fame by winning the 2013 John Deere Classic at the age of 19, becoming the first teenage winner on the PGA Tour since 1931. Won two and a half points from three matches with fellow rookie Patrick Reed in 2014, but squandered an early lead to Graeme McDowell in the opening singles. Won the Masters and US Open in 2015 and finished a shot outside the play-off for the Open.
PHIL MICKELSON
Age 46
Caps 10 (1995, 1997, 1999, 2002, 2004, 2006, 2008, 2010, 2012, 2014)
Record W16 L19 H6
Majors 5 (Masters 2004, 2006, 2010, US PGA 2005, Open 2013)
Maintained proud record of qualifying automatically for each team by finishing second to Henrik Stenson in a thrilling duel for the Open Championship in July, missing out on a second Claret Jug despite a closing 65 at Royal Troon. The left-hander's 41 matches is unsurprisingly a record, but so is the 19 defeats.
PATRICK REED
Age 26
Caps 1 (2014)
Record W3 L0 H1
Majors 0
Caused controversy after his victory in the WGC-Cadillac Championship at Doral in 2014 by claiming he was one of the top five players in the world, but was unbeaten later that year at Gleneagles with three and a half points from four matches. Sealed his second appearance with victory in The Barclays, the final qualifying event.
JIMMY WALKER
Age 37
Caps 1 (2014)
Record W1 L1 H3
Majors 1 (US PGA 2016)
Won his first PGA Tour title in his 188th start and claimed two more victories in his next seven events to secure his Ryder Cup debut by February 2014 and played all five matches at Gleneagles. Halved three of those with Rickie Fowler and lost the other, but did beat Lee Westwood in the singles. Was well down the qualifying list until winning his first major title in the US PGA at Baltusrol.
BROOKS KOEPKA
Age 26
Caps 0
Majors 0
Koepka's place on the team was in jeopardy after he suffered an ankle injury which kept him out of action for several weeks, but he returned to finish fourth in the US PGA and ninth the following week in the Travelers Championship to seal his berth at Hazeltine.
BRANDT SNEDEKER
Age 35
Caps 1 (2012)
Record W1 L2 H0
Majors 0
Helped the United States into a 10-4 lead at Medinah in 2012 by partnering Jim Furyk to a crucial foursomes win over Rory McIlroy and Graeme McDowell, but was thrashed 5&3 by Paul Lawrie in the singles as Europe staged a brilliant fightback. Came from well off the pace to win the weather-affected Farmers Insurance Open in February.
ZACH JOHNSON
Age 40
Caps 4 (2006, 2010, 2012, 2014)
Record W6 L6 H2
Majors 2 (Masters 2007, Open 2015)
Won two of his three matches with Jason Dufner in 2012 and was only denied a 100 per cent record by a sensational performance from Ian Poulter and Rory McIlroy in the Saturday fourballs. Beat Graeme McDowell in the singles, one of just three American wins that day, but won just half a point from three matches in 2014.
WILD CARDS
RICKIE FOWLER
Age 27
Caps 2 (2010, 2014)
Record W0 L3 H5
Majors 0
Looked set to secure an automatic place when he led after 54 holes of the final qualifying event, only to slip to seventh place and miss out. Failed to win a match on either of his two previous appearances, halving three alongside Jimmy Walker in 2014 before losing 5&4 to Victor Dubuisson and Graeme McDowell. Was then thrashed by the same score by Rory McIlroy in the singles.
JB HOLMES
Age 34
Caps 1 (2008)
Record W2 L0 H1
Majors 0
Finished fourth in the Masters and a distant third in the Open Championship in 2016, before a timely tie for fourth in the BMW Championship earned a second Ryder Cup appearance. Was unbeaten in his native Kentucky in 2008, taking two and a half points from three matches to help the United States record their last victory to date.
MATT KUCHAR
Age 38
Caps 3 (2010, 2012, 2014)
Record W4 L5 H2
Majors 0
Carded a brilliant closing 63 to claim bronze in the Olympics in Rio and finished fourth alongside fellow wild card Holmes in the BMW Championship. Has yet to taste victory in the Ryder Cup after featuring in the last three defeats and won just one of his four matches at Gleneagles in 2014, beating Thomas Bjorn in the singles.
Source: PA-WIRE