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Mathematics 7 Online
OpenStudy (lynx):

@loser66

OpenStudy (lynx):

The number of subsets that can be created from the set {1, 2, 3} is: 3

OpenStudy (loser66):

how can you get it?

OpenStudy (lynx):

well I mulitply {1,2,3} {1}{1,2,3} {2}{1,3} {3}{1,2} So three made sense the most /:

OpenStudy (lynx):

I mean i didn't multiply

OpenStudy (loser66):

ok, I show you how 1) 1 member set: {1}, {2},{3} , so you have 3 subsets for this type, right?

OpenStudy (lynx):

Ye

OpenStudy (loser66):

2) now, 2 member set: {1,2}, {1,3}, {2,3} , you have 3 more, right?

OpenStudy (lynx):

ofc

OpenStudy (loser66):

3) now, 3 member set {1,2,3} so total you have 7 subsets, right?

OpenStudy (lynx):

yes, seven

OpenStudy (loser66):

However, by definition of subset, you always have empty set is a subset of ANY set

OpenStudy (loser66):

then total is 8 subsets.

OpenStudy (loser66):

I give you the way to calculate the number of the subset of any set, ok?

OpenStudy (lynx):

Oh wow

OpenStudy (loser66):

tell me, how many member are there in this set? {a,b,c,d}

OpenStudy (loser66):

just count them, ok, I ask other way: how many letter are there in that set?

OpenStudy (lynx):

*I'll 4 letters, i cna mulitply them by 2..each

OpenStudy (loser66):

Yes, for 4, but no for the leftover

OpenStudy (loser66):

4 members, then number of subsets is 2^4 =16

OpenStudy (lynx):

yea i got 16 also

OpenStudy (loser66):

but the way you multiple each by 2 is not the correct one.

OpenStudy (loser66):

like this {1,2,5,8,9,3,15} how many subsets?

OpenStudy (lynx):

7

OpenStudy (loser66):

7 members, 2^7 = 128 subsets.

OpenStudy (lynx):

x.x

OpenStudy (loser66):

got it?

OpenStudy (lynx):

Yes, that opened my eyes.

OpenStudy (loser66):

ok, last one: {x,c,d,r,t,} how many subsets?

OpenStudy (lynx):

2^7=14

OpenStudy (loser66):

hey!! how many letter are there?

OpenStudy (lynx):

O.m.g LOL I mean 7

OpenStudy (loser66):

{x,c,d,r,t} how many?

OpenStudy (lynx):

i was looking at the wrong one

OpenStudy (lynx):

O.m.g my bad i mean 5

OpenStudy (lynx):

Do another one

OpenStudy (loser66):

yes, then how many subsets?

OpenStudy (lynx):

2^5=10

OpenStudy (loser66):

oh, no 2^5 =32 \(2^5 = 2*2*2*2*2=32\) \(2^5 \neq 2*5\)

OpenStudy (lynx):

Yeah, I multiplied it wrong way.

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