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torisob [31]
3 years ago
11

How many bit strings of length 12 are palindromes and contain 10 as sub string

Mathematics
1 answer:
andre [41]3 years ago
4 0
There are as many palindromic 12-bit binary strings as there are permutations with repetition of 6-bit binary strings, which is equal to 2^6=64.

There are also only two permutations with repetition of 6-bit binary strings, that when each of them is mirrored and the result is "glued" to the right side of the original string, will give a palindromic string without 10 as a substring.
Those strings are 000000 and 111111.

Therefore there are 64-2=62 palindromic 12-bit binary strings with 10 as substring.
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8 (8 + x) = 16 ; 

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