Oteha Valley Primary School ban Bday Cakes tvnz
AUCKLAND.
Hadyn Jones tvnz, 4/4/08.
ONE News 630 pm.. Check Query.
hi, interesting maths...
Suppose 200 school days x 2 cakes, A and B, every day
=3D 400 pupils.
(200A)(200B) =3D 400 ! / 2^200. Permutation Factorial A
or B.
For the first time in 60 years I guessed:
( 2n ) ! =3D ( n !)^2 / 2^n.
Probability =3D (400 / e) ^400 / (2^200 x 365 ^400.)
=3D (1.1 / e)^400 / 2^200
=2E. =3D 400x (log 1.1 =96 log e) =96 200x log2
=3D 10 ^ -217 =3D 1/ (100^108) =3D 1/ googol
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=3D .000 [216 zeroes] =851, APPROXIMATELY.
Extremely ^ to the extremely rare.
Yours truly, Donald S. McDonald WGTN 04/389-6820.
Researched with frank c..
