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If a bit string contains {0,1} only, having length 5 has no more than 2 ones in it. Then how many such bit strings are possible?
Correct answer is '16'. Can you explain this answer?
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Most Upvoted Answer
If a bit string contains {0,1} only, having length 5 has no more than ...
The total strings are 1(having no one in it) + 5 (having 1 one in it) + 10 (having 2 ones in it) = 16.
The number of elements of the set of different binary strings of length 5 is 25 = 32. The I subset (strings 1 through 16) has a 0 as first bit and the II subset (strings 17 through 32) has an 1 as first bit.
Hence, the correct answer is 16.
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Community Answer
If a bit string contains {0,1} only, having length 5 has no more than ...
Analysis:
To solve this problem, we need to consider all possible ways to arrange 0s and 1s in a bit string of length 5, such that there are no more than 2 ones.
Approach:
We can approach this problem by considering the positions of the ones in the bit string.
Case 1: 0 ones
In this case, the bit string will consist of all 0s. There is only 1 way to arrange this, which is "00000".
Case 2: 1 one
There are 5 positions where the one can be placed in the bit string. Therefore, there are 5 ways to arrange this.
Case 3: 2 ones
There are 5 choose 2 = 10 ways to choose the positions for the two ones in the bit string. Therefore, there are 10 ways to arrange this.
Total number of bit strings:
Adding up the possibilities from all cases:
1 (case 1) + 5 (case 2) + 10 (case 3) = 16
Therefore, there are 16 possible bit strings of length 5 containing no more than 2 ones.
To solve this problem, we need to consider all possible ways to arrange 0s and 1s in a bit string of length 5, such that there are no more than 2 ones.
Approach:
We can approach this problem by considering the positions of the ones in the bit string.
Case 1: 0 ones
In this case, the bit string will consist of all 0s. There is only 1 way to arrange this, which is "00000".
Case 2: 1 one
There are 5 positions where the one can be placed in the bit string. Therefore, there are 5 ways to arrange this.
Case 3: 2 ones
There are 5 choose 2 = 10 ways to choose the positions for the two ones in the bit string. Therefore, there are 10 ways to arrange this.
Total number of bit strings:
Adding up the possibilities from all cases:
1 (case 1) + 5 (case 2) + 10 (case 3) = 16
Therefore, there are 16 possible bit strings of length 5 containing no more than 2 ones.
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If a bit string contains {0,1} only, having length 5 has no more than 2 ones in it. Then how many such bit strings are possible?Correct answer is '16'. Can you explain this answer?
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If a bit string contains {0,1} only, having length 5 has no more than 2 ones in it. Then how many such bit strings are possible?Correct answer is '16'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about If a bit string contains {0,1} only, having length 5 has no more than 2 ones in it. Then how many such bit strings are possible?Correct answer is '16'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a bit string contains {0,1} only, having length 5 has no more than 2 ones in it. Then how many such bit strings are possible?Correct answer is '16'. Can you explain this answer?.
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