14,189 ! Re: 15,197 possible different ways to be autistic under DSM-IV., correction...

[Guest guest]

Yes, it's 14,189. I did it differently:

For Part A: 2027 times, coming from:

Sum of (12C12)+(12C11)+...+(12C6) = 2510.

Subtracting 3x 37 = 111 (if any subpoint has 0,

it's " not autism " ): 420, 430, 440, 340, 240.

Subtracting 93 x4 = 372 (if having only ONE of A.a it's

not autism): 441, 431x2, 421x2, 411x2, 331, 321x2.

For Part B: 7 ways.

Then 2027 x 7 = 14,189 ways...

: if your sum was actually run on a computer

with FOR loops and IF checks, I would trust that result ;-)

[ " De Carlo " ]

> 7 * sum(i=2..4,j=1..4,k=1..4,i+j+k>=6)[(4 nCr i)(4 nCr j)(4 nCr k)] =

> 14,189. So, sorry to disappoint, there are actually a few less ways to be

> autistic than previously thought.

Thank you for thinking about this,

Mircea Pauca, Bucuresti, Romania