d delusive expectation, and are led into habits of idleness and vice,
which produce innumerable evils, and, ultimately, end in misery and
pauperism."
LOTTERY COMBINATIONS.
The numbers on lottery tickets are formed by combinations of certain
numbers previously agreed upon; as from 1 to 60, 1 to 75, 1 to 78, &c.,
&c.
Combination consists in taking a less number of things out of a greater,
without any regard to the order in which they stand; no two combinations
having the same quantities or numbers.
_Problem._--To find the number of combinations which can be taken from
any given number of things, all different from each other, taking a
given number at a time.
_Rule._--Take a series of numbers, the first term of which is equal to
the number of things out of which the combinations are to be made, and
decreasing by 1, till the number of terms is equal to the number of
things to be taken at a time, and the product of all the terms.
Then take the natural series 1, 2, 3, &c., up to the number of things to
be taken at a time, and find the product of all the terms of this
series.
Divide the former product by the latter, and the quotient will be the
answer.
How many combinations of 3 numbers can be taken out of 78 numbers?
78x77x76 = 456456 and
1x2x3 = 6
6)456456
------
76076 Answer.
How many combinations of 3 numbers can be taken out of 70 numbers?
70x69x68 = 328440 and
1x2x3 = 6
6)328440
------
54740 Answer.
How many combinations of 3 numbers can be taken out of 60 numbers?
60x59x58 = 205320 and
1x2x3 = 6
6)205320
------
34220 Answer.
How many combinations of 3 numbers can be taken out of 40 numbers?
40x39x38 = 59280 and
1x2x3 = 6
6)59280
-----
9880 Answer.
We have sufficient experience in lottery gambling to assure the
community that their whole system is as foul as highway robbery. We
purchased a wheel from one of the fraternity in Washington City, and
drew in Philadelphia three times, then carried it to Washington, and
there demonstrated to the satisfaction of those who witnessed our
drawing, that what we asserted was true to the letter. We copy the
notices of the American Courier, one of the first papers of our country
in the cause of humanity, and ever ready to diffuse that which will
promote the happiness and welfare of mankind.
"GREEN'S LOTTERY,
"On Saturday night, drew the
|