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The number of different  symmetric matrices with each element being either 0 or 1 is: (Note: (2,X) is same as 2X)
  • a)
    Power (2,n)
  • b)
    Power (2,n2)
  • c)
    Power (2,(n2 + n)/2)
  • d)
    Power (2,(n2 - n)/2)
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The number of different symmetric matrices with each element being ei...
In symmetric matrix, So, we have choice only for either the upper triangular elements or the lower triangular elements. Number of such elements will be  Now, each element being either 0 or 1 means, we have 2 choices for each element and thus for  elements we have possibilities. 
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The number of different symmetric matrices with each element being either 0 or 1 is: (Note: (2,X) is same as 2X)a)Power (2,n)b)Power (2,n2)c)Power (2,(n2+n)/2)d)Power (2,(n2 - n)/2)Correct answer is option 'C'. Can you explain this answer?
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