A Treatise of Practical Arithmetic : Intended for the Use of Schools ; in Two Parts

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Required the present worth of an annuity of g50, to continue during the longest life of four persons, A- B, C, D ; the age of A being 40 years, B 45, C 8c D, each 50 ; interest 6 per cent.
3. Required the present worth of a reversionary an- nuity of glOO, payable to A, now 30 years of age, after the decease of B, 30 years old, and C, 46 ; interest 5 per cent.
Sundry other cases relating to life annuities, may be imagined ; such as, when annuites for a certain term are connected with them, or wh
...en leases on life are to be renewed, by " putting in a new life, in place of one that has dropped ;*' but as such cases can seldom, if ever, occur, in this country, th.ey are here omitted.
PERMUTATION.
OF PERMUTATION.
Permutation is that operation in arithmetic by which is found the number of changes which may be made in the arrangement of any given number of articles ; as letters, figures, persons. Sec, placed in succession.
Rule^ Take a series of numbers, in arithmetical pro- gression, whose first term, and common difference, is unity, viz.


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