Question 1099535
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? Union? Intersection? Other?