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Mathematical Questions and Solutions in Continuation of the Mathematical Columns of the Educational Times Volume 37 (Paperback) Loot Price: R258
Discovery Miles 2 580

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# Mathematical Questions and Solutions in Continuation of the Mathematical Columns of the Educational Times Volume 37 (Paperback)

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Loot Price R258 Discovery Miles 2 580

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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1882 Excerpt: ...method of approximation "proceeds very slowly." (A)-6-72 308-7-72...-1-544-1-6528") 6937. (By J. Hammond, M.A.)--Find in how many different ways a different things can be given to different people. Solution by the Rev. W. A. Whitworth, M.A.; J. O'regan; and others. Each thing can be disposed of in b ways, and therefore all in b- ways (Choice and Chance, Prop. ii. Cor.). If, however, it is implied that no person is to be left empty, the result will be a times the coefficient of x" in the expansion of (ex--l)b (Choice and Chance, Prop, xxii., p. 84). 6900. (By Elizabeth Blackwood.)--If A, B, C, D are four candidates whose respective chances of passing a certain examination are a, b, e, d;. show that the chance that at least two out of the four will pass is 'iabcd--25abc + 2ab, where Salic denotes combinations of a, b, e, d, three at a time, which, when a--6 = c = d, becomes Ga---8a3 + 3a. Solution by W. H. Blythe, B.A.; G. Heppel, M.A.; and others. The chance they all pass is abed; that A, B, C pass, and D fails, is abc(l-d), and there are four terms similar to this; the chance that A and B pass, and C and D fail, is ab (1--c) (1--/), and there are six terms similar to this. If either of these events happen, two at least pass; hence, adding, we obtain the given result. If a' = 1--a, the chance of two at least passing may be otherwise written 6753. (By R. Tucker, M. A.)--PSQ, PHR are two focal chords of an ellipse inclined at an angle a; if the centre of the ellipse be the centroid of the triangle PQR, prove that the area of the triangle is f 42 tan Ja. 6987. (B.V B. Reynolds, M.A.)--Show that (1) 8 queens can be placed on an ordinary chess-board, so that no two can take each other, in 12 essentially different classes, forming, with pe...

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 Imprint: Rarebooksclub.com Country of origin: United States Release date: March 2012 First published: March 2012 Authors: Books Group Dimensions: 246 x 189 x 2mm (L x W x T) Format: Paperback - Trade Pages: 32 ISBN-13: 978-1-130-18556-0 Barcode: 9781130185560 Categories: Books Promotions LSN: 1-130-18556-7

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