Question 1183179
<br>
To form a team, the coach needs to...<br>
(1) choose 1 of the 2 goalies: C(2,1)
AND
(2) choose 2 of the 4 defenders: C(4,2)
AND
(3) choose 3 of the 6 forwards: C(6,3)<br>
The number if possible starting lineups is the product of the numbers of ways he can choose the players for the three positions:<br>
ANSWER: {{{C(2,1)*C(4,2)*C(6,3) = (2)(6)(20) = 240}}}<br>