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" ... 7, and group distinctly the corresponding values of x and y. 4. Convert 3.14159 into a continued fraction, and obtain four convergents. What is the limit of the error in taking the fourth convergent for the value of the decimal ? 5. (a) Derive the... "
Wentworth & Hill's Exercise Manuals ... - Page 186
by George Albert Wentworth, George Anthony Hill - 1890
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Cyclomathesis: Or, An Easy Introduction to the Several Branches ..., Volume 10

William Emerson - Mathematics - 1770 - 494 pages
...combination of m things out of m ; whether they be all different, or feveral of one or more forts. Cor. 5. The number of permutations of m things taken n at a time — the like number of combinations X into 1.2.3.4.5 &c . . to n terms. This is plain from this Prop,...
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Essays on the combinatorial analysis

Peter Nicholson - Combinations - 1818 - 270 pages
...2.2.2.2 bui problem- 333 £ Numerical Calculation: 3.2.3.3 «« 3.4.5.6 ,. 5333=". 3-3.3.3 THEOREM I. The number of permutations of m things taken n at a time is m"1"1. As any one of the m quantities may stand first, there will be m different ways of filling...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...parcels containing two or more things alike, are called combinations with repetitions. Theorem I. (!•) The number of permutations of m things taken n at a time is то"1". As any one of the m quantities may stand first, there will be м different ways of filling...
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Wentworth & Hill's Exercise Manual: No. II. Algebra, Issue 2

George Albert Wentworth - Algebra - 1888 - 238 pages
...given by p =1X2X3m= [g? ・ (1X2X3p)(lx2X3?)(1X2X3r) \\\r カ ( lX2X3 の ( lX2X3r ) 匝 ㎏ ヒ If Pn is the number of permutations of m things, taken n at a time (n < m), then PB = m(m - l)(m - 2)(m - n + I)・ 2・ In how many ways can 14 persons be placed at table ? 5・ In...
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An Exercise Book in Algebra: Designed for Supplementary Or Review Work in ...

Scoby McCurdy - Algebra - 1894 - 226 pages
...error in taking the fourth convergent for the value of the decimal ? 5. (a) Derive the formula for the number of permutations of m things taken n at a time. (b) From 10 different things in how many ways can a selection of 4 be made ? 6. (a) Write equivalents...
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Yale University Entrance Examinations in Mathematics: 1884 to 1898

Mathematics - 1898 - 228 pages
...the error in taking the fourth convergent for the value of the decimal. 5. (a) Derive the formula for the number of permutations of m things taken n at a time. (b) From 10 different things, in how many ways can a selection of 4 be made ? 6. (a) Write equivalents...
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Entrance Examinations in Mathematics, 1884 to 1898 [with Supplements to 1900]

Yale University - 1898 - 212 pages
...the error in taking the fourth convergent for the value of the decimal. 5. (a) Derive the formula for the number of permutations of m things taken n at a time. (b) From lo different things, in how many ways can a selection of 4 be made ? 6. (a) Write equivalents...
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