00:01
On this problem, we are told that we were wanting to select a football team.
00:04
The team has three centers, 10 linemen, and then play either guard or tackle, three quarterbacks, six halfbacks, four ends, and four fullbacks.
00:34
Now, we want to know a team must have one center, two guards, two tackles, two ends, two halfbacks, quarterback, and a fullback.
00:41
We want to know in how many different ways can the team be selected.
00:45
Now we need one center, and so means we want three, choose one.
00:51
We need two guards and two tackles.
00:54
And so it means we need a total of four linemen.
00:57
We're told that guards and tackles amount to our total alignment here.
01:00
So we need 10 choose four.
01:03
We need one qb.
01:08
We need two ends, two halfbacks.
01:12
So six choose two, four choose two, and then one fullback...