A sixth riddle!
There's a function just
(reserved)
for me
though you need three
of me to complete it.
Don't simplify
(me)
when the top's much larger;
I'll explode
before you know it.
What am I?
$\begingroup$
$\endgroup$
Add a comment
|
2 Answers
$\begingroup$
$\endgroup$
2
I think it may be (only may be , not sure!!!)
Combinatorics (combinations)
There's a function just (reserved) for me
though you need three of me to complete it.
Expression : $^nC_r $ - three symbols required to complete the expression, also $^nC_r = \frac{n!}{r!(n-r)!}$ - three 'factorial' terms
Don' t simplify when the top's much larger
Evaluating $^nC_r$ becomes tedious, if $n$ is large, (provided $r$ is not very large or small ) . $$$$ For e.g, $^{520}C_{14} = 1016179801403563036214357760$
I'll explode before you know it
May be the same as above or combinatorial explosion https://en.wikipedia.org/wiki/Combinatorial_explosion
-
-
1$\begingroup$ Yep! Note that the function was originally a reference to the hypergeometric distribution with parameters given by $\sf{Hy(x\mid N,d,n)}$ and density function $$p(x)=\frac{\binom dx \binom{N-d}{n-x}}{\binom Nn}$$ and as you can see, it is made up of three combinations. Great job! $\endgroup$ May 20, 2019 at 6:38
$\begingroup$
$\endgroup$
First Attempt (possibility to be correct: 20%)
cone?
There's a function just
(reserved)
for me
Volume of a cone : $pi*r^2*h/3$
though you need three
of me to complete it.
denominator = $3$, complete: without it?
Don't simplify
(me)
when the top's much larger;
I'll explode
pi is just sooooo long... when simplified...
before you know it.
answered May 19, 2019 at 21:53