Thread: General Combination Questions

just some questions that i need help with, if someone could help, it would be appreciated very much

q1. find the number of ways of arranging 7 people in a line with the tallest in the middle

q2. a squad of footballers has 10 midfielders, 3 goalkeepers and 7 defenders. how many teams (of 11 players) could be selected if the team only has one goalkeeper and at least 5 midfielders and at least 4 defenders?

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.

(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?

There are two possible team compositions:

. . possible teams.

. . possible teams.


Therefore, there are: . possible teams.

thanks