Mathematics
7 Online
OpenStudy (lynx):
@loser66
Join the QuestionCove community and study together with friends!
Sign Up
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?
Join the QuestionCove community and study together with friends!
Sign Up
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
Join the QuestionCove community and study together with friends!
Sign Up
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}
Join the QuestionCove community and study together with friends!
Sign Up
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
Join the QuestionCove community and study together with friends!
Sign Up
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
Join the QuestionCove community and study together with friends!
Sign Up
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?
Join the QuestionCove community and study together with friends!
Sign Up
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
Join the QuestionCove community and study together with friends!
Sign Up
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.