13 74| | 5 13 75 | 5 14 55| 5 14 74 | 5 15 25|
| 6 14 73|Here ends | 6 14 72 | 6 15 56| 6 15 72 | 6 16 26|
| 7 15 72| Fifteen | 7 15 73 | 7 16 57| 7 16 71 | 7 17 27|
| 8 16 71| Packages | 8 16 70 | 8 17 58| 8 17 70 | 8 18 28|
|17 52 70| of Half | 17 51 71 | 9 18 59| 9 18 69 | 9 19 29|
|18 51 69| Tickets. | 18 50 69 | 19 52 60| 19 36 68 | 10 20 30|
|19 50 68| The | 19 49 68 | 20 40 72| 20 37 67 | 31 41 51|
|20 49 67|following | 20 48 67 | 21 50 62| 21 38 66 | 32 42 52|
|21 48 66| Packages | 21 47 66 | 22 49 63| 22 39 65 | 33 43 53|
|22 47 65| are | 22 46 65 | 23 48 64| 23 40 64 | 34 44 54|
|23 46 64|Quarters. | 23 45 64 | 24 47 65| 24 41 62 | 35 45 55|
|24 45 63| | 24 44 61 | 25 46 66| 25 45 63 | 36 46 56|
|25 44 62| | 25 43 62 | 26 45 67| 26 43 60 | 37 47 57|
|26 43 61| | 26 42 63 | 27 44 68| 27 44 61 | 38 48 58|
|27 42 60| | 27 41 60 | 28 43 69| 28 42 59 | 39 49 59|
|28 41 59| | 28 40 59 | 29 42 70| 29 46 58 | 40 50 60|
|29 40 58| | 29 39 58 | 30 41 71| 30 47 57 | 61 67 73|
|30 39 57| | 30 38 57 | 31 51 61| 31 48 56 | 62 68 74|
|31 38 56| | 31 37 56 | 32 39 73| 32 49 55 | 63 69 75|
|32 37 55| | 32 36 55 | 33 38 74| 33 50 54 | 64 70 76|
|33 36 54| | 33 35 53 | 34 37 75| 34 51 53 | 65 71 77|
|34 35 53| | 34 52 54 | 35 36 76| 35 52 73 | 66 72 78|
+--------+----------+----------+---------+-----------+---------+

By a little investigation, any one may discover that his chance for
drawing a prize, even of a trifling amount, is extremely small. By the
following method any one may ascertain the number of combinations which
any given number will produce, as in the present case, 78 x 77 x 76 =
456456 / 6 = 76076, the number of combinations of three numbers each;
the 78 multiplied by 77, and the product by 76, and that product divided
by 6 gives the number of combinations of three numbers each, which the
numbers from 1 to 78 will produce, no two combinations containing the
same three numbers.

+--------+----------+----------+---------+-----------+---------+
| #205# | #206# | #207# | #208# | #209# | #210# |
+--------+----------+----------+---------+-----------+---------+
| 5 | 6 | 7 | 8 | 9 | 10 |
+--------+----------+----------+---------+-----------+---------+
| 1 12 23| 1 13 25 | 1 14 27 | 1 15 29| 1 16 31 | 1