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Question

# 1) Students attending an experimental school are classified by grade (grades

7 through 12),  yes/no as to whether they are taking a foreign language, yes/no as to whether they are taking a music class, and yes/no as to whether they stay after school for a sport.   How many classifications (outcomes) are there?

2)A five letter code is to be made by choosing 5 letters from the first 9 letters of our alphabet (a, b, c, d, e, f, g, h, i).  If repeats are allowed (the same letter may be used used more than once), how many possible codes (outcomes) can be made?
using the same question above how many five letter codes can be made if each chosen letter (from the the original 9 letters) can only be used only once (no repeats)

#### Step-by-step answer

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