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Question

11+x(ba)+x(ca)+11+x(ab)+x(cb)+11+x(bc)+x(ac)=?

A
0
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B
1
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C
xabc
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D
None of these
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Solution

The correct option is B 1
Given Exp. = 1(1+xbxa+xcxa)+1(1+xaxb+xcxb)+1(1+xbxc+xaxc)
=xa(xa+xb+xc)+xb(xa+xb+xc)+xc(xa+xb+xc)
=xa+xb+xc(xa+xb+xc)
=1.

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