seven horses are entered in a race. If two horses are tied for first​ place, and there are no ties among the other five ​horses, in how many ways can the seven horses cross the finish​ line?

3 answers

I doubt any tutors here majored in "mason". Sorry.
There are 7C2 = 21 ways to pick the 1st two horses, leaving 5 to arrange in the other places. So, there are

21 * 5! ways to finish the race.
horses are entered in a race. If two horses are tied for first​ place, and there are no ties among the other five ​horses, in how many ways can the seven horses cross the finish​ line?