odds of 4 pocket pairs 10 handed? too hard to figure?

[boondockst]

Hand #4062058-2661 at San Mateo (No Limit Hold'em)
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Started at 21/Jan/05 06:10:48

400 Quarters is at seat 0 with $6.13.
JoeSparks is at seat 1 with $1.70.
wdecker is at seat 2 with $4.70.
4our thr33s is at seat 3 with $2.50.
TakoolZep is at seat 4 with $12.
Lax_for_Life is at seat 5 with $7.80.
jeffm351 is at seat 6 with $4.70.
incubliss is at seat 7 with $4.70.
Feloniously is at seat 8 with $1.80.
andey is at seat 9 with $8.
The button is at seat 6.

incubliss posts the small blind of $.05.
Feloniously posts the big blind of $.10.

400 Quarters: -- --
JoeSparks: -- --
wdecker: -- --
TakoolZep: -- --
Lax_for_Life: -- --
jeffm351: -- --
incubliss: Qh Qs
Feloniously: -- --
andey: -- --

Pre-flop:

andey calls. 400 Quarters calls. JoeSparks raises
to $.20. wdecker folds. TakoolZep folds.
Lax_for_Life calls. jeffm351 folds. incubliss
re-raises to $1.10. Feloniously goes all-in for
$1.80. andey folds. 400 Quarters goes all-in for
$6.13. JoeSparks goes all-in for $1.70.
Lax_for_Life folds. incubliss goes all-in for $4.70.
400 Quarters is returned $1.43 (uncalled).

Flop (board: Jc 7d 4c):

(no action in this round)


Turn (board: Jc 7d 4c Qd):

(no action in this round)


River (board: Jc 7d 4c Qd Ad):

(no action in this round)




Showdown:

400 Quarters shows 9h 9c.
400 Quarters has 9h 9c Jc Qd Ad: a pair of nines.
JoeSparks shows 6h 6d.
JoeSparks has 6h 6d Jc Qd Ad: a pair of sixes.
incubliss shows Qh Qs.
incubliss has Qh Qs Jc Qd Ad: three queens.
Feloniously shows Kc Ks.
Feloniously has Kc Ks Jc Qd Ad: a pair of kings.


Hand #4062058-2661 Summary:

$.60 is raked from a total pot of $13.20.
$.35 is raked from the main pot of $7.10.
$0 is raked from side pot #1 of $.30.
$.25 is raked from side pot #2 of $5.80.
incubliss wins the main pot $6.75 with three queens.
incubliss wins side pot #1 $.30 with three queens.
incubliss wins side pot #2 $5.55 with three queens.
----------------------------------------------------------------

[BruceZ]

The table at the bottom of this article gives the probabilty as 0.0019 for exactly 4 pairs, and 0.0001 for exactly 5 pairs, with more pairs negligble. So about 1 in 500. I have verified these results in the past.