# Thread: Permutation/Combination team selection

1. ## Permutation/Combination team selection

A hockey team panel is made up of the following players
Goalkeeper (gk) = 3
Defender (def) = 6
Midfield (mid) = 6
Forward (fwd) = 5
The coach is considering selecting two possible formations as follows
Formation A = 1 gk, 4 def, 3 mid, 3 fwd
Formation B = 1 gk, 3 def, 5 mid, 2 fwd
How many different teams can be selected if Formation A is used?
How many different teams can be selected if Formation B is used?

2. Originally Posted by izaiyoi
A hockey team panel is made up of the following players
Goalkeeper (gk) = 3
Defender (def) = 6
Midfield (mid) = 6
Forward (fwd) = 5
The coach is considering selecting two possible formations as follows
Formation A = 1 gk, 4 def, 3 mid, 3 fwd
Formation B = 1 gk, 3 def, 5 mid, 2 fwd
How many different teams can be selected if Formation A is used?
How many different teams can be selected if Formation B is used?
for A..

$\left( {\begin{array} {c} 3 \\ 1 \\ \end{array} }\right) \left( {\begin{array} {c} 6 \\ 4 \\ \end{array} }\right)\left( {\begin{array} {c} 6 \\ 3 \\ \end{array} }\right)\left( {\begin{array} {c} 5 \\ 3 \\ \end{array} }\right)$

do the same for B..