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Concern the set of binary strings of length 8 each

Question: Concern the set of binary strings of length 8 (each character is either the digit 0 or the digit 1).

1. How many such strings are there?

2. How many begin and end with 0?

3. How many begin or end with 0?

4. How many have 1 as the second digit?

5. How many begin with 111?

6. How many contain exactly one 0?

7. How many begin with 10 or have a 0 as the third digit?

8. How many are palindromes?

9. How many contain exactly seven 1s?

10. How many contain two or more 0s?

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Mathematics: Concern the set of binary strings of length 8 each

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