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" Take a series of numbers, commencing with the number of things given, and decreasing by 1, until the number of terms is equal to the number of things to be taken at a time : the product of all the terms will be the answer required. "
The Elements of Arithmetic...: In which Decimal and Integral Arithmetic are ... - Page 107
by Pliny Earle Chase - 1848 - 240 pages
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Higher Arithmetic: Or, The Science and Application of Numbers; Combining the ...

James Bates Thomson - Arithmetic - 1847 - 426 pages
...number of things given, and decreasing by 1 till the number of terms is equal to the number of things taken at a time ; the product of all the terms will be the answer required. 6. How many different words can be formed of 9 letters, taking 3 at a time 1 Solution.— 9X8X7=504....
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Higher Arithmetic: Or, The Science and Application of Numbers; Combining the ...

James Bates Thomson - Arithmetic - 1847 - 434 pages
...number of things given, and decreasing by 1 till the number of terms is equal to the number of things taken at a time ; the product of all the terms will be the ansioer required. 6. How many different words can be formed of 9 letters, taking 3 at a time 1 Solution,—...
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Elements of Arithmetic: For Schools and Academies. In which Decimal and ...

Pliny Earle Chase - Arithmetic - 1848 - 252 pages
...numbers, commencing with the number of things given, and decreasing by 1, until the number of terms is equal to the number of things to be taken at a time...different ways may 10 letters of the alphabet be arranged ? PROBLEM III. To find the number of permutations in any given number of things, among which there...
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Lectures on the Philosophy of Arithmetic and the Adaptation of that Science ...

Uriah Parke - Arithmetic - 1849 - 414 pages
...numbers can be formed of the following figures, 1223334444? Ans. 12600. CASE 3. number of quantities to be taken at a time ; the product of all the terms will be the answer required. Example 1. How many different numbers of four figures each can be formed of the figures 1 to 8, inclusive,...
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The National Arithmetic, on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1849 - 388 pages
...at the number of tilings given, and decreasing by 1, to the number of quantities to be taken <tffl time ; the product of all the terms will be the answer required. Illustration. — The above rule may be illustrated by inquiring how many different numbers can be...
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The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1850 - 368 pages
...numbers, beginning at the number of things given, and decreasing by 1, to the number of quantities to be taken at a time; the product of all the terms will be the answer required. Illustration. — The above rule may be illustrated by inquiring how many different numbers can be...
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Lectures on the Philosophy of Arithmetic and the Adaptation of that Science ...

Uriah Parke - Arithmetic - 1850 - 402 pages
...numbers can be formed of the following figures, 1223334444 ? Ans. 12600. CASE 3. number of quantities to be taken at a time ; the product of all the terms will be the answer required. Example 1. How many different numbers of four figures each can be formed of the figures 1 to 8, inclusive,...
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The American Arithmetic: In which the Principles of Numbers are Explained ...

James Robinson - Arithmetic - 1850 - 342 pages
...things out of which the combinations are to be made, and decreasing by 1 , until the number of terms is equal to the number of things to be taken at a time, and find the product of all the terms. Then take the natural series, 1,2,3, <fc., up to the given number...
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Arithmetic, Practically Applied ...

Horace Mann - 1851 - 384 pages
...numbers, commencing with the number of things given, and decreasing by 1, unti1 the number of terms is equal to the number of things to be taken at a time....changes can be rung with 8 bells, taking 5 at a time? Ans. 6720. 5. How many numbers of 4 different figures each, can be expressed by the 9 digits ? 6. In...
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Arithmetic: Practically Applied, for Advanced Pupils, and for Private ...

Horace Mann, Pliny Earle Chase - Arithmetic - 1857 - 398 pages
...numbers, commencing with the number of tilings given, and decreasing by 1, until the number of terms is equal to the number of things to be taken at a time....changes can be rung with 8 bells, taking 5 at a time 1 Ans. 6720. 5. Plow many numbers of 4 different figures each, can be expressed by the 9 digits ? 6....
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