Hello, gbooker!

(1) Find the number of ways of arranging 7 people in a line

with the tallest in the middle.

Place the lallest in the middle.

Then the other six people can be arranged in ways.

There are two possible team compositions:(2) A squad of footballers has 3 Goalkeepers, 10 Midfielders, and 7 Defenders.

How many teams (of 11 players) could be selected if the team has:

one Goalkeeper and at least 5 Midfielders and at least 4 Defenders?

. . possible teams.

. . possible teams.

Therefore, there are: . possible teams.