Mixing
A probability problem.
Clash Royale CLAN TAG#URR8PPP
up vote
1
down vote
favorite
A club has five members $A,B,C,D$ and $E$. It is required to select a
chairman and secretary. Assuming that one member cannot occupy both
positions, write the sample space associated with these selections
.
My input
In my mind I thought of selecting two from these $5$ people first one as chairman and second one as secretary. $5$ choose $2$ makes it $10$ but order doesn't matter because first one can also b secretary and $2$nd can be chairman. Using permutation makes it $20$ possible pairs.
$AB,BA,AC,CA....$
Did i think it right ?
probability probability-theory
asked Jul 31 at 13:39
Damn1o1
57113
 |Â
show 1 more comment
up vote
1
down vote
favorite
A club has five members $A,B,C,D$ and $E$. It is required to select a
chairman and secretary. Assuming that one member cannot occupy both
positions, write the sample space associated with these selections
.
My input
In my mind I thought of selecting two from these $5$ people first one as chairman and second one as secretary. $5$ choose $2$ makes it $10$ but order doesn't matter because first one can also b secretary and $2$nd can be chairman. Using permutation makes it $20$ possible pairs.
$AB,BA,AC,CA....$
Did i think it right ?
probability probability-theory
asked Jul 31 at 13:39
Damn1o1
57113
3
You've got the right answer, but I think you meant to say, "Order does matter."
– saulspatz
Jul 31 at 13:42
@saulspatz I meant AB and BA are not same thing. So what do I write here ? Order matters or doesn't matter? I am confused.
– Damn1o1
Jul 31 at 13:44
1
Order matters. If AB and BA are the same, then order doesn't matter. (We don't care what order they are listed in.) By AB and BA are different, so the order in which they are listed matters.
– saulspatz
Jul 31 at 13:46
1
"AB and BA are not the same thing" implies order matters. On the other hand "AB and BA are the same thing" implies order doesn't matter.
– JMoravitz
Jul 31 at 13:47
@JMoravitz Thanks for pointing that out. I am learning these things.
– Damn1o1
Jul 31 at 13:51
 |Â
show 1 more comment
up vote
1
down vote
favorite
up vote
1
down vote
favorite
A club has five members $A,B,C,D$ and $E$. It is required to select a
chairman and secretary. Assuming that one member cannot occupy both
positions, write the sample space associated with these selections
.
My input
In my mind I thought of selecting two from these $5$ people first one as chairman and second one as secretary. $5$ choose $2$ makes it $10$ but order doesn't matter because first one can also b secretary and $2$nd can be chairman. Using permutation makes it $20$ possible pairs.
$AB,BA,AC,CA....$
Did i think it right ?
probability probability-theory
asked Jul 31 at 13:39
Damn1o1
57113
A club has five members $A,B,C,D$ and $E$. It is required to select a
chairman and secretary. Assuming that one member cannot occupy both
positions, write the sample space associated with these selections
.
My input
In my mind I thought of selecting two from these $5$ people first one as chairman and second one as secretary. $5$ choose $2$ makes it $10$ but order doesn't matter because first one can also b secretary and $2$nd can be chairman. Using permutation makes it $20$ possible pairs.
$AB,BA,AC,CA....$
Did i think it right ?
probability probability-theory
asked Jul 31 at 13:39
Damn1o1
57113
edited Jul 31 at 14:19
asked Jul 31 at 13:39
Damn1o1
57113
asked Jul 31 at 13:39
Damn1o1
57113
asked Jul 31 at 13:39
Damn1o1
57113
57113
3
You've got the right answer, but I think you meant to say, "Order does matter."
– saulspatz
Jul 31 at 13:42
@saulspatz I meant AB and BA are not same thing. So what do I write here ? Order matters or doesn't matter? I am confused.
– Damn1o1
Jul 31 at 13:44
1
Order matters. If AB and BA are the same, then order doesn't matter. (We don't care what order they are listed in.) By AB and BA are different, so the order in which they are listed matters.
– saulspatz
Jul 31 at 13:46
1
"AB and BA are not the same thing" implies order matters. On the other hand "AB and BA are the same thing" implies order doesn't matter.
– JMoravitz
Jul 31 at 13:47
@JMoravitz Thanks for pointing that out. I am learning these things.
– Damn1o1
Jul 31 at 13:51
 |Â
show 1 more comment
3
You've got the right answer, but I think you meant to say, "Order does matter."
– saulspatz
Jul 31 at 13:42
@saulspatz I meant AB and BA are not same thing. So what do I write here ? Order matters or doesn't matter? I am confused.
– Damn1o1
Jul 31 at 13:44
1
Order matters. If AB and BA are the same, then order doesn't matter. (We don't care what order they are listed in.) By AB and BA are different, so the order in which they are listed matters.
– saulspatz
Jul 31 at 13:46
1
"AB and BA are not the same thing" implies order matters. On the other hand "AB and BA are the same thing" implies order doesn't matter.
– JMoravitz
Jul 31 at 13:47
@JMoravitz Thanks for pointing that out. I am learning these things.
– Damn1o1
Jul 31 at 13:51
3
3
You've got the right answer, but I think you meant to say, "Order does matter."
– saulspatz
Jul 31 at 13:42
You've got the right answer, but I think you meant to say, "Order does matter."
– saulspatz
Jul 31 at 13:42
@saulspatz I meant AB and BA are not same thing. So what do I write here ? Order matters or doesn't matter? I am confused.
– Damn1o1
Jul 31 at 13:44
@saulspatz I meant AB and BA are not same thing. So what do I write here ? Order matters or doesn't matter? I am confused.
– Damn1o1
Jul 31 at 13:44
1
1
Order matters. If AB and BA are the same, then order doesn't matter. (We don't care what order they are listed in.) By AB and BA are different, so the order in which they are listed matters.
– saulspatz
Jul 31 at 13:46
Order matters. If AB and BA are the same, then order doesn't matter. (We don't care what order they are listed in.) By AB and BA are different, so the order in which they are listed matters.
– saulspatz
Jul 31 at 13:46
1
1
"AB and BA are not the same thing" implies order matters. On the other hand "AB and BA are the same thing" implies order doesn't matter.
– JMoravitz
Jul 31 at 13:47
"AB and BA are not the same thing" implies order matters. On the other hand "AB and BA are the same thing" implies order doesn't matter.
– JMoravitz
Jul 31 at 13:47
@JMoravitz Thanks for pointing that out. I am learning these things.
– Damn1o1
Jul 31 at 13:51
@JMoravitz Thanks for pointing that out. I am learning these things.
– Damn1o1
Jul 31 at 13:51
 |Â
show 1 more comment
1 Answer
1
active
oldest
votes
up vote
1
down vote
accepted
Let $M =A,B,C,D,E$, then set of interest $S$ (The probability space) is as follows
$$S = (s,c)in Mtimes M :sneq c$$
answered Jul 31 at 14:08
Atif Farooq
2,7352824
add a comment |Â
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
1
down vote
accepted
Let $M =A,B,C,D,E$, then set of interest $S$ (The probability space) is as follows
$$S = (s,c)in Mtimes M :sneq c$$
answered Jul 31 at 14:08
Atif Farooq
2,7352824
add a comment |Â
up vote
1
down vote
accepted
Let $M =A,B,C,D,E$, then set of interest $S$ (The probability space) is as follows
$$S = (s,c)in Mtimes M :sneq c$$
answered Jul 31 at 14:08
Atif Farooq
2,7352824
add a comment |Â
up vote
1
down vote
accepted
up vote
1
down vote
accepted
Let $M =A,B,C,D,E$, then set of interest $S$ (The probability space) is as follows
$$S = (s,c)in Mtimes M :sneq c$$
answered Jul 31 at 14:08
Atif Farooq
2,7352824
Let $M =A,B,C,D,E$, then set of interest $S$ (The probability space) is as follows
$$S = (s,c)in Mtimes M :sneq c$$
answered Jul 31 at 14:08
Atif Farooq
2,7352824
answered Jul 31 at 14:08
Atif Farooq
2,7352824
answered Jul 31 at 14:08
Atif Farooq
2,7352824
answered Jul 31 at 14:08
Atif Farooq
2,7352824
2,7352824
add a comment |Â
add a comment |Â
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3
You've got the right answer, but I think you meant to say, "Order does matter."
– saulspatz
Jul 31 at 13:42
@saulspatz I meant AB and BA are not same thing. So what do I write here ? Order matters or doesn't matter? I am confused.
– Damn1o1
Jul 31 at 13:44
1
Order matters. If AB and BA are the same, then order doesn't matter. (We don't care what order they are listed in.) By AB and BA are different, so the order in which they are listed matters.
– saulspatz
Jul 31 at 13:46
1
"AB and BA are not the same thing" implies order matters. On the other hand "AB and BA are the same thing" implies order doesn't matter.
– JMoravitz
Jul 31 at 13:47
@JMoravitz Thanks for pointing that out. I am learning these things.
– Damn1o1
Jul 31 at 13:51