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...
|Country of origin:
||246 x 189 x 2mm (L x W x T)
||Paperback - Trade
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