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The number of ways can the coach choose one sixth grader, one seventh grader, and one eighth grader is 840.
Arrangement of the things or object is mean to make the group of them in a systematic order, in all the possible ways.
The number of possible ways to arrange is the n!. Here, n is the number of objects.
There are 10 sixth graders, 14 seventh graders, and 6 eighth graders on the track team. All the graders has to be arranged in an order. Thus number of arrangement will be,
[tex]n=10\times14\times6\\n=840[/tex]
Thus, the number of ways can the coach choose one sixth grader, one seventh grader, and one eighth grader is 840.
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