Thread: [SOLVED] Permutation and Combination Question 3

11 players are to be selected for a football game In the squad are 3 goal keepers, 6 defenders, 5 mid-fielders and 6 strikers. In how many ways can a coach pick his team if he needs 1 goal keeper, 4 defenders, 3 mid-fielders and 3 strikers?

I get 3C1 * 6C4 * 5C3 *6C3 and get 9000.
Am I right?

In how many ways can 3 red, 1 black, 2 white and 2 blue balls be selected from 6 red, 2 black, 5 white and 4 blue balls; and in how many ways can they be arranged?

I get 6C3 * 2C1 * 5C2 * 4C2
=2,400

For second part of question, I take 8!/(3!2!2!) = 1,680 But the answer sheet shows another answer. Am I wrong, or the answer sheet is wrong?

Hello, azuki!

11 players are to be selected for a football game.
In the squad are 3 goal keepers, 6 defenders, 5 mid-fielders and 6 strikers.
In how many ways can a coach pick his team
if he needs 1 goal keeper, 4 defenders, 3 mid-fielders and 3 strikers?

I get: .

Am I right? . Yes!

In how many ways can 3 red, 1 black, 2 white and 2 blue balls
be selected from 6 red, 2 black, 5 white and 4 blue balls.
And in how many ways can they be arranged?

I get: . . Right!

For second part, I take: .

But the answer sheet shows another answer. . What is it?

What was the original wording of the problem?

"Arranged" is a very sloppy term.

. .