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09 Apr 2005, 01:19
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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Coach Miller is filling out the starting lineup for his indoor
soccer team. There are 10 boys on the team, and he must
assign 6 starters to the following positions: 1 goalkeeper, 2 on
defense, 2 in midfield, and 1 forward. Only 2 of the boys can
play goalkeeper, and they cannot play any other positions. The
other boys can each play any of the other positions. How many
different groupings are possible?
A 60
B 210
C 2,580
D 3,360
E 151,200
soccer team. There are 10 boys on the team, and he must
assign 6 starters to the following positions: 1 goalkeeper, 2 on
defense, 2 in midfield, and 1 forward. Only 2 of the boys can
play goalkeeper, and they cannot play any other positions. The
other boys can each play any of the other positions. How many
different groupings are possible?
A 60
B 210
C 2,580
D 3,360
E 151,200
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09 Apr 2005, 02:20
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take 1 out of 2 => 2c1
take 5 out of 8 => 8c5
that are the 6 starters
then out of the 6 starters take 1 as goalkeeper and 2 as defense (=>5c2) and 2 as midfield (=>3c2) and 1 as forward
=> 2c1*8c5*1*5c2*3c2*1
take 5 out of 8 => 8c5
that are the 6 starters
then out of the 6 starters take 1 as goalkeeper and 2 as defense (=>5c2) and 2 as midfield (=>3c2) and 1 as forward
=> 2c1*8c5*1*5c2*3c2*1
09 Apr 2005, 02:28
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Christoph, it seems that your answer is not even an option.
BTW, my reasoning:
2 possibilities for gk
8c2 for position 1
6c2 for position 2
4c1 for position 3
which is= 3360
my answer is
D 3,360
BTW, my reasoning:
2 possibilities for gk
8c2 for position 1
6c2 for position 2
4c1 for position 3
which is= 3360
my answer is
D 3,360
:
