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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

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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

by M7MBA » Fri Jun 05, 2020 8:28 am

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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. 2580
D. 3360
E. 151200

[spoiler]OA=D[/spoiler]

Source: Princeton Review
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