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Exercise 8.12.20: Counting binary strings. (a) How many binary strings of length 12 do not have...

Exercise 8.12.20: Counting binary strings.

(a) How many binary strings of length 12 do not have exactly four 1's?

(b) How many binary strings of length 12 start with 101 or 1110?

(e) How many binary strings of length 12 start with 00 or end with 00 or both?

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