What is the number of bit-strings (that is, strings consisting of 0's and 1's) of length 8 where the number of 0's is equal to the number of 1's?
answer is: 70
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What is the number of bit-strings (that is, strings consisting of 0's and 1's) of length 8 where the number of 0's is equal to the number of 1's?
answer is: 70
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What is the number of bit-strings (that is, strings consisting of 0's and 1's) of length 8 where the number of 0's is equal to the number of 1's?
answer is: 70
Answered by
1
Answer:In a bit string of length 8 you have 8 'places' to place a 0 or 1. When you have an equal number of 0's and 1's, you have 4 0's and 4 1's. When you have chosen were to place the 0's in the bit string the indices of the 1's are automatically determined. You have (84) possibilities to place the 0's, and therefore (84) possible strings with equal number of 0's and 1's.
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