HOYLAKE, England -- Even after his worst 72-hole finish in a major, Tiger Woods says he would pick himself for the Ryder Cup team. Cincinnati Reds Store . His first major of the year, and second tournament since March 31 back surgery, wasnt much of an audition for U.S. captain Tom Watson. Woods was never the same after opening the British Open with a 69. The mistakes kept piling up, and so did the big numbers, and he closed with a 3-over 75 on Sunday at Royal Liverpool. "I just made too many mistakes," Woods said. He finished at 6-over 294, matching his highest score in the British Open. Only three players had a worse score, including U.S. Open champion Martin Kaymer, and Woods finished in 69th place. His previous worst was a tie for 40th in the PGA Championship last year and the 2012 Masters. Worse yet, he didnt even beat the 64-year-old captain. Watson birdied his last hole for a 68, "Its just one day. Its a snapshot," Watson said. "Its not a big deal." Still, the concern was clear. Watson was speaking to the media as Woods was still on the course when he asked if Woods was shooting under par. Told that he was 4 over at the time, Watson said, "Thats not very good." Woods still has two tournaments left before the end of Ryder Cup qualifying at the PGA Championship. He is No. 72 in the standings, and aside from winning the final major of the year, his best bet is to be one of Watsons three picks. Asked if he would be inclined to pick him if were in Watsons position, Woods said with a smile, "I would say yes." "But thats my position, my take on it," Woods said. "Hes the captain. Obviously, its his decision. Hes going to field the best 12 players that he thinks will win the cup back. And I hope Im on that team." Woods is unlikely to make the FedEx Cup playoffs unless he picked up top-3 finishes at Firestone and the PGA Championship, and that means Watson would have to judge him on those tournaments unless Woods were to play elsewhere. Europe isnt appealing, with events in Denmark, the Czech Republic and Italy. "It would make it tougher for me to pick him if hes not playing," Watson said. Watson is more inclined to see more from Woods before a rush to judgment. Woods has played only six rounds since back surgery to alleviate a pinched nerve that forced him to miss three months, including two majors. The scorecard showed two triple bogeys and three double bogeys. He said his return at Congressional three weeks ago, where he missed the cut by four shots, was at least a chance to make sure he was pain free and shake off some rust. The rust was still there "I was certainly expecting it, yes, but I just thought that I know how to play links golf," Woods said. "I know how to grind it on these golf courses, and hitting the shots I thought I could get around here. I did the first day. After a bad start I got it back. And unfortunately, as I said, I made too many mistakes with the doubles and triples." He said he remained encouraged -- the same word he used when missing the cut at Congressional -- and even said he could see comparisons to these last two tournaments with a rehab assignment for a baseball player. "Theres a lot of things I need to work on, but I havent been able to work a lot," Woods said. "I was down for three months. So Im just now starting to come back. ... Im still building. Im still working on my game. And Im getting stronger and faster." Woods has missed only one Ryder Cup since his first one in 1997. That was in 2008, when he missed the second half of the season with reconstructive knee surgery. He was a captains pick in 2010 by Corey Pavin, following a year of personal turmoil that led to divorce and the hiring of a new swing coach. Woods went 3-1 in Wales, his best performance in a Ryder Cup. He was confused talking about that year, saying he was coming off an injury and missed most of the summer. 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