The trifecta at most racetracks consists of selecting the​ first-, second-, and​ third-place finishers in a particular race in their proper order. if there are eleven entries in the trifecta​ race, how many tickets must you purchase to guarantee a​ win?

Respuesta :

Since you have 11 entries, you have 11 possible winners.
For each winner, you have 10 possible second-place finishers.
For each pair first-second place, you have 9 possible 3rd place finishers.

The possibilities are 11×10×9 = 990
Therefore, you have to buy 990 tickets.