“Upon the whole view of the subject, your committee are decidedly of opinion, that lotteries are the most injurious kind of taxation, and the very worst species of Gambling.  By their insidious and fascinating influence on the public mind, their baleful effect is extended, and their mischievous consequences are most felt by the indigent and ignorant, who are seduced, deceived, and cheated out of their money, when their families are often suffering for the necessaries of life.  Their principles are vitiated by lotteries, they are deceived by vain and 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.