Determine the number of ways a computer can randomly generate one or more such integers from 1

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Determine the number of ways a computer can randomly generate one or more such integers from 1 through 12.
1. An odd integer
2. An even integer
3. A prime integer
4. An integer that is greater than 9
5. An integer that is divisible by 4
6. An integer that is divisible by 3
7. Two distinct integers whose sum is 9
8. Two distinct integers whose sum is 8
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