Question 1099015
To simplify, I'll just use a five digit number to stand for the vector.
So, 00000 is the vector where all the components are not working.
11111 is the vector where all the components are working.
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a) 5 places, 2 choices so that makes a total of
{{{N=2^5=32}}}
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b)
1 and 2
11000,11001,11010,11011,11100,11101,11110,11111
3 and 4
00110,00111 01110, 01111, 10110,10111,11110,11111
1,3, and 5
10101,10111,11101,11111
Eliminate duplicates 
W={00110,00111,01110,01111,10101,10110,10111,11000,11001,11010,11011,11100,11101,11110,11111}
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c) XXX00, leaves three places with 2 choices,
{{{N=2^3=8}}}
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d) What does AW mean?