SHORT TABLE OF BINOMIAL COEFFICIENTS | 0 1 2 3 4 5 6 7 8 9 10 11 --+------------------------------------------------------------------- 0 | 1 . . . . . . . . . . . 1 | 1 1 . . . . . . . . . . 2 | 1 2 1 . . . . . . . . . 3 | 1 3 3 1 . . . . . . . . 4 | 1 4 6 4 1 . . . . . . . 5 | 1 5 10 10 5 1 . . . . . . 6 | 1 6 15 20 15 6 1 . . . . . 7 | 1 7 21 35 35 21 7 1 . . . . 8 | 1 8 28 56 70 56 28 8 1 . . . 9 | 1 9 36 84 126 126 84 36 9 1 . . 10 | 1 10 45 120 210 252 210 120 45 10 1 . 11 | 1 11 55 165 330 462 462 330 165 55 11 1 12 | 1 12 66 220 495 792 924 792 495 220 66 12 13 | 1 13 78 286 715 1287 1716 1716 1287 715 286 78 14 | 1 14 91 364 1001 2002 3003 3432 3003 2002 1001 364 15 | 1 15 105 455 1365 3003 5005 6435 6435 5005 3003 1365 16 | 1 16 120 560 1820 4368 8008 11440 12870 11440 8008 4368 17 | 1 17 136 680 2380 6188 12376 19448 24310 24310 19448 12376 18 | 1 18 153 816 3060 8568 18564 31824 43758 48620 43758 31824 19 | 1 19 171 969 3876 11628 27132 50388 75582 92378 92378 75582 20 | 1 20 190 1140 4845 15504 38760 77520 125970 167960 184756 167960 21 | 1 21 210 1330 5985 20349 54264 116280 203490 293930 352716 352716 22 | 1 22 231 1540 7315 26334 74613 170544 319770 497420 646646 705432 This table is in the public domain wm knight 1997 march 27