In how many ways can 10 students be divided into three teams, one containing 4 students and the others 3?
Method 1 makes sense, in which the answer is .
But method 2 bothers me, where the answer is .
I can understand choosing 4 out of 10 the first time, but what is the logical explanation for choosing 2 out 5 the second time? This does not seem very consistent.