Need help with Pattern problem
$begingroup$
Letters $A$ to $J$ is a random number.
If only $A$ is used. There is just $A$. Which is $1$ scenario
If $A$ and $B$ are used. There are $2$ scenarios. $(A=B) (A<>B)$
If$ A, B$ and $C$ are used. There are $5$ scenarios.
$(A=B,A<>C)(A=C,A<>B)(B=C,B<>A)(A<>B<>C)(A=B=C)$
If all $10$ letters are used. How many possible scenarios are there?
pattern-recognition
edited Jan 16 at 3:28
Andrews
1,2812422
asked Jan 16 at 1:29
Elton LimElton Lim
1
$endgroup$
add a comment |
$begingroup$
Letters $A$ to $J$ is a random number.
If only $A$ is used. There is just $A$. Which is $1$ scenario
If $A$ and $B$ are used. There are $2$ scenarios. $(A=B) (A<>B)$
If$ A, B$ and $C$ are used. There are $5$ scenarios.
$(A=B,A<>C)(A=C,A<>B)(B=C,B<>A)(A<>B<>C)(A=B=C)$
If all $10$ letters are used. How many possible scenarios are there?
pattern-recognition
edited Jan 16 at 3:28
Andrews
1,2812422
asked Jan 16 at 1:29
Elton LimElton Lim
1
$endgroup$
add a comment |
$begingroup$
Letters $A$ to $J$ is a random number.
If only $A$ is used. There is just $A$. Which is $1$ scenario
If $A$ and $B$ are used. There are $2$ scenarios. $(A=B) (A<>B)$
If$ A, B$ and $C$ are used. There are $5$ scenarios.
$(A=B,A<>C)(A=C,A<>B)(B=C,B<>A)(A<>B<>C)(A=B=C)$
If all $10$ letters are used. How many possible scenarios are there?
pattern-recognition
edited Jan 16 at 3:28
Andrews
1,2812422
asked Jan 16 at 1:29
Elton LimElton Lim
1
$endgroup$
Letters $A$ to $J$ is a random number.
If only $A$ is used. There is just $A$. Which is $1$ scenario
If $A$ and $B$ are used. There are $2$ scenarios. $(A=B) (A<>B)$
If$ A, B$ and $C$ are used. There are $5$ scenarios.
$(A=B,A<>C)(A=C,A<>B)(B=C,B<>A)(A<>B<>C)(A=B=C)$
If all $10$ letters are used. How many possible scenarios are there?
pattern-recognition
pattern-recognition
edited Jan 16 at 3:28
Andrews
1,2812422
asked Jan 16 at 1:29
Elton LimElton Lim
1
edited Jan 16 at 3:28
Andrews
1,2812422
asked Jan 16 at 1:29
Elton LimElton Lim
1
edited Jan 16 at 3:28
Andrews
1,2812422
edited Jan 16 at 3:28
Andrews
1,2812422
edited Jan 16 at 3:28
Andrews
1,2812422
1,2812422
asked Jan 16 at 1:29
Elton LimElton Lim
1
asked Jan 16 at 1:29
Elton LimElton Lim
1
asked Jan 16 at 1:29
Elton LimElton Lim
1
1
add a comment |
add a comment |
1 Answer
1
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$begingroup$
It appears that you are looking for Bell numbers, the number of equivalence relations on a finite set. $B_{10}=115975$
answered Jan 16 at 1:43
saulspatzsaulspatz
17.1k31435
$endgroup$
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1 Answer
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1 Answer
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active
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active
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$begingroup$
It appears that you are looking for Bell numbers, the number of equivalence relations on a finite set. $B_{10}=115975$
answered Jan 16 at 1:43
saulspatzsaulspatz
17.1k31435
$endgroup$
add a comment |
$begingroup$
It appears that you are looking for Bell numbers, the number of equivalence relations on a finite set. $B_{10}=115975$
answered Jan 16 at 1:43
saulspatzsaulspatz
17.1k31435
$endgroup$
add a comment |
$begingroup$
It appears that you are looking for Bell numbers, the number of equivalence relations on a finite set. $B_{10}=115975$
answered Jan 16 at 1:43
saulspatzsaulspatz
17.1k31435
$endgroup$
It appears that you are looking for Bell numbers, the number of equivalence relations on a finite set. $B_{10}=115975$
answered Jan 16 at 1:43
saulspatzsaulspatz
17.1k31435
answered Jan 16 at 1:43
saulspatzsaulspatz
17.1k31435
answered Jan 16 at 1:43
saulspatzsaulspatz
17.1k31435
answered Jan 16 at 1:43
saulspatzsaulspatz
17.1k31435
17.1k31435
add a comment |
add a comment |
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