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The first selection can be any one of 7 people.

The second one can be any one of the remaining 6.

The third one can be any one of the remaining 5.

So the subcommittee can be selected in (7 x 6 x 5) = 210different ways.

But ... there aren't that many different subcommittees that can be formed.

Whether you select ABC, ACB, BAC, BCA, CAB, or CBA, you still have the same 3 people

on the subcommittee. You can form the subcommittee in 210 different ways, but

each group of the same three people gets selected six times, in different ways.

So there are only (210/6) = 35 possible different subcommittees.

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