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Mathematics 14 Online
OpenStudy (anonymous):

Write down all possible subsets of set P using correct set notation.

OpenStudy (anonymous):

OpenStudy (anonymous):

i know it f,h,i,s but how can i write it using the correct set notation.

OpenStudy (anonymous):

can u figure this out 24+z=43

OpenStudy (anonymous):

would it be 24+ 19 = 43

ganeshie8 (ganeshie8):

do you know about "power set"

OpenStudy (anonymous):

no

ganeshie8 (ganeshie8):

ok... so you want to list down all the subsets of P. can you tell how many elements P has ?

OpenStudy (anonymous):

4 elements

OpenStudy (anonymous):

did i get it

ganeshie8 (ganeshie8):

yes. now to list down subsets- a subset of P is just a another set formed with elements from P

ganeshie8 (ganeshie8):

P = {f , h, i, s}

ganeshie8 (ganeshie8):

S1 = { f } is it a subset of P ?

ganeshie8 (ganeshie8):

it is, because P has the element "f"

ganeshie8 (ganeshie8):

S2 = { a } can you tell if it is a subset of P ?

OpenStudy (anonymous):

no it not because P dont have the element of ''a''

ganeshie8 (ganeshie8):

thats right !!

ganeshie8 (ganeshie8):

so you know what is a subset of P and what is not a subset! so try listing the possible subsets now... start with empty set : {} {f} {h} {i} {s} {f, h} {f, i} ........ can you try listing the rest of possible subsets ?

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

P= {} {f} {h} {i} {s} {f,h} {f,i} {f,s} {s,f} {s,i} {s,h} {i,f} {i,s} {i,h} {h,i} {h,s} {h,f} hope I did right

ganeshie8 (ganeshie8):

looks you're on right track !! two things i notice - 1) you listed only upto 2 element subsets. you did not list 3 element subsets, for ex, below are also subsets of P : {f, h, i} {f, h, s} .... 2) there are some redundant sets in your listing. see, {f, h} and {h, f} are same sets. you shouldnt list them twice... !

OpenStudy (anonymous):

oh ok

OpenStudy (anonymous):

how it look now P= {} {f} {h} {i} {s} {f,h} {f,i} {f,s} {s,f} {s,i} {s,h} {i,f} {i,s} {i,h} {h,i} {h,s} {f, h, i} {f, h, s} {f,h,i,s}

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