slots where a team like BYU could be selected. The likelihood of that depends on many factors, like how highly ranked the conference auto-bids are. If all the auto-bids are top 10, then the chances go up. If the auto-bids are lower-ranked, then there will likely be other top 10 teams who would get the bid.
For example, you could see a top 4 of Bama, Ohio St, Oklahoma, and Stanford, in which case the PAC runner-up would face the B1G runner-up in the Rose bowl and the SEC runner-up would face the Big 12 runner-up in the Sugar bowl. These could be #14 Wisconsin vs #18 Washington, etc. That could potentially leave 6 top 10 teams for the 3 at-large slots, so 8, 9 and 10 would be out of luck.
Conversely, the auto-bids could also be 5, 6, 7 and 8 with the G5 at #9, in which case 10, 11 and 12 would get the at-large NY6 slots.