Canadian Eugenie Bouchard finds herself in a pool with Serena Williams and Ana Ivanovic at the WTA Tour Finals in Singapore

SINGAPORE – They divide the top eight women in the world into two pools for the round-robin portion of the WTA Tour Finals, which get under way here Monday.

It's random; they take No. 1 and No. 2 and deposit one into each pool, then No. 3 and No.4, and so on.

The way it all shook out, Canadian Genie Bouchard ended up in what we'll call the "Broken Glamour" pool.

The 20-year-old from Montreal will play one match against each of the following three: Serena Williams, Ana Ivanovic and Simona Halep, with the top two finishers in the pool advancing to the semi-finals.

In the other pool are Petra Kvitova, Maria Sharapova, Agnieszka Radwanska and Caroline Wozniacki.

Why the Broken Glamour pool? Well, the second part is self-explanatory; Ivanovic and Bouchard arguably are the two women at the top of the game who get the most attention for their looks.

Why broken? Well, all four players in the pool have had injury concerns over the last few weeks.

In Beijing three weeks ago, Williams withdrew before her quarter-final match because of a knee injury. Bouchard lost her first match there after suffering a left leg injury and Halep gave Ivanovic a walkover because of a left hip injury.

In Linz, Austria, Bouchard and Ivanovic (hip) both played and won one match, and withdrew from the event. Neither Bouchard (Luxembourg) nor Ivanovic (Moscow) played their scheduled events this week, partly cautionary but, in the end, all the promotional events and photo opportunities that were held this week in conjunction with the Tour finals being held in Singapore for the first time would have been missing some faces.

Clearly, all of them wanted to be as fit and rested as they could possibly be for this tournament, arguably the most coveted trophy beyond the four Grand Slams. But certainly there are health issues that bear watching.

Williams, though, says she's ready.

Meanwhile, everyting seems fairly healthy in the other pool.

At first glance, it appears to be a terrific turn of events for Bouchard, assuming her leg will allow her to go the distance. Her record against her fellow top-10 players is inconsistent. But the ones she has had good success against, for the most part, fell into her pool.

Williams's health is probably the biggest question mark of all. It's too soon to tell if she's in Singapore just for show, as the world No. 1, but not fit to play, But if she does fail to make it through the three matches of the round-robin portion, they would substitute in the first alternate, Angelique Kerber of Germany.

Bouchard has defeated Kerber handily, twice, in two matches this season. She is 0-1 against Williams, a three-setters in Cincinnati a year ago. On paper, Bouchard and Williams were drawn to meet each other three times in Grand Slams this season – in the Australian open quarter-finals, the French Open semi-finals and at Wimbledon in the round of 16 – but Williams didn't make any of those dates.

The Canadian is 2-0 against Ivanovic, having beaten her both at the Australian Open this year, and at Wimbledon in 2013. She's 1-1 against Halep, beating her in the Wimbledon semifinals this year, and narrowly losing to her at Indian Wells back in March.

Meanwhie, Bouchard's biggest challenges at the top of the game were all drawn in the other pool: She's 0-3 against Sharapova, 0-1 against Radwanska and, notably, 0-3 against Kvitova, who defeated her both in the Wimbledon final and in the Wuhan, China final last month.

If things break right, she wouldn't meet any of them until the semi-finals.