Playing the horses: In horse racing, one can make a trifecta bet by specifying which horse will come in first, which will come in second, and which will come in third, in the correct order. One can make a box trifecta bet by specifying which three horses will come in first, second, and third, without specifying the order. Part 1 of 2 (a) In a seven-horse field, how many different ways can one make a trifecta bet? There are ways to make a trifecta bet. Part 2 of 2 (b) In a seven-horse field, how many different ways can one make a box trifecta bet? There are ways to make a box trifecta bet