8. How many bit strings(strings of 1 or 0) of length 12 are there such that it contains exactly 4 1s?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**7. Password Composition Problem**

*A system has the following requirement for its password: the password length must be between 6 and 8 characters. Every character should be a digit or a lowercase letter. Additionally, the password should NOT consist entirely of digits. How many possible passwords are there?*

**8. Bit String Problem**

*How many bit strings (strings consisting of 1s and 0s) of length 12 are there such that they contain exactly 4 ones?*
Transcribed Image Text:**7. Password Composition Problem** *A system has the following requirement for its password: the password length must be between 6 and 8 characters. Every character should be a digit or a lowercase letter. Additionally, the password should NOT consist entirely of digits. How many possible passwords are there?* **8. Bit String Problem** *How many bit strings (strings consisting of 1s and 0s) of length 12 are there such that they contain exactly 4 ones?*
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We need to find the number of bit strings (strings of 1 or 0) of length 12 such that it contains exactly 4 1s.

 

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