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Question Number 117567 by bounhome last updated on 12/Oct/20
give A={a,b,c,d,e}; n(p(A))=?
giveA={a,b,c,d,e};n(p(A))=?
Answered by mr W last updated on 12/Oct/20
C_0 ^5 +C_1 ^5 +C_2 ^5 +C_3 ^5 +C_4 ^5 +C_5 ^5 =2^5 =32  ⇒n(p(A))=32
C05+C15+C25+C35+C45+C55=25=32n(p(A))=32
Commented by bounhome last updated on 13/Oct/20
and p(A)=?
andp(A)=?
Commented by mr W last updated on 13/Oct/20
all 32 subsets of A:  {0}  {a},{b},...,{e}  {a,b},{a,c},...,{d,e}  ...  {a,b,c,d,e}
all32subsetsofA:{0}{a},{b},,{e}{a,b},{a,c},,{d,e}{a,b,c,d,e}

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