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" 16 . 24 1.3.5.7 6.7.9.11 9.11.13.15 to n terms by increments. to n terms. 21. If seven balls be drawn from a bag containing eleven in all, five of which are white and six black ; what is the probability that three white balls will be drawn? "
New Series of The Mathematical Repository - Page 40
by Thomas Leybourn - 1819
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Calendar

University of Cambridge - 1818 - 360 pages
...terms by increments. ax + (a+0) + (a + 2 6) + &c. to n terms. 21. If seven balls be drawn from a bag containing eleven in all, five of which are white...drawn ? 22. Prove that the sum of all the numbers of я places, which cao be formed with the n digits a, é, с, &с. : sum of all the numbers of n places...
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Cambridge Problems: Being a Collection of the Printed Questions Proposed to ...

Mathematics - 1821 - 464 pages
...1.3.5.7 5.7.9.11 9.11.13.15 to n terms by increments. (a+b) #"+/3+(a + 2fe).ra+!!/3 + &c. to n terms. 32. Prove that the sum of all the numbers of n places,...of n places which can be formed with the n digits p, q, r, &c. of the same scale :: a + b + c + &c. : p + J + T + &C. 23. In a revolving fluid spheroid...
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Cambridge Problems: Being a Collection of the Printed Questions Proposed to ...

University of Cambridge - Mathematics - 1821 - 254 pages
...1.3.5.7 6.7.9.11 9.11.13.15 to n terms by increments. to n terms. 21. If seven balls be drawn from a bag containing eleven in all, five of which are white...drawn? 22. Prove that the sum of all the numbers of « places, which can be formed with the n digits a, b, c, &c. : sum of all the numbers of n places...
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Examples in Arithmetic and Algebra: Collected and Arranged from TheCambridge ...

Algebra - 1834 - 182 pages
...that the sum of all the numbers of n places which can be formed with the n digits a0, at, аг, &с. : sum of all the numbers of n places which can be formed with the »digits b0, blt Ь2 , &c. of the same scale :: a0 + at + a2 + &c. : b0 + Ь1 + Ьг + &c. 52. There...
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The Elements of Algebra: Designed for the Use of Students in the University

John Hind - Algebra - 1837 - 584 pages
...Prove that the sum of all the numbers of n places which can be formed with the n digits a, 6, c, Sec. : the sum of all the numbers of n places which can be formed with the n digits p, q, r, &c. of the same scale = a + b + c + &c. : p + q + r + &c. 13. There is a number consisting...
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The elements of algebra, Volume 2

John William Colenso (bp. of Natal.) - 1849 - 250 pages
...between x and у : the H. mean : : m : n, then x : y : : m + v'(m* - n1) : m - V(»** - пг). 97. Find the sum of all the numbers of n places which can be made with n digits pa, pv &c. in the scale of r. What is the greatest possible value of that sum for...
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Miscellaneous Examples in Algebra: With Equation Papers Originally Proposed ...

John William Colenso - 1851 - 112 pages
...between x and у : the H. mean : : m : n, then x : y : : m + v'(m' - и*) : m - v'(m' - n'). 97. Find the sum of all the numbers of n places which can be made with n digits p„, pv &c. in the scale of r. What is the greatest possible value of that sum...
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Elementary algebra, with brief notices of its history

Robert Potts - 1879 - 668 pages
...falling on any one of the four faces marked 1, 2, 3, 4. П1. 1. If seven balls be drawn from a bag containing eleven in all, five of which are white...the probability that three white balls will be drawn ? 2. If an urn contain 10 white balls, 12 black, and 14 red; how many ways can 2 balls be drawn ? How...
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Elementary algebra: with brief notices of its history

Robert Potts - Algebra - 1879 - 672 pages
...falling on any one of the four faces marked 1, 2, 3, 4. П1. 1. If seven balls be drawn from a bag containing eleven in all, five of which are white...the probability that three white balls will be drawn ? 2. If an urn contain 10 white balls, 12 black, and 14 red; how many ways can 2 balls be drawn ? How...
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The Cambridge University Calendar

University of Cambridge - Universities and colleges - 1818 - 362 pages
...&c. to n terms by increments. ~rc 'fj r\ fi "T to n terms. &c. 21. If seven balls be drawn from a bag containing eleven in all, five of which are white and six black; what is the prohability that three white balls will he drawn? 22. Prove that the sum of nil the numbers of n places,...
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