The coach of a soccer team is holding tryouts and can take only

3
more players for the team. There are
5
players trying out. How many different groups of
3
players could possibly be chosen?

4 answers

5 choose 3 equals 5!/3!2!=5x4/2=10
☺☺☺☺
1, 2, 3, 4, 5.

(1). 1, 2, 3.
(2). 2, 3, 4.
(3). 3, 4, 5.
(4). 4, 5, 1.
(5). 5, 1, 2.

5 Groups.
(6). 1. 3, 5.
(7). 2, 4, 1.
(8). 3, 5, 2.
(9). 4, 1, 3.
(10). 5, 2, 4.

Total = 10 Groups.
The coach of a soccer team is holding tryouts and can take only 2 more players for the team. There are 6 players trying out. How many different groups of players could possibly be chosen?
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