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" From 12 books in how many ways can a selection of 5 be made, (1) when one specified book is always included, (2) when one specified book is always excluded ? (1) Since the specified book is to be included in every selection, we have only to choose 4 out... "
Algebra for Colleges and Schools - Page 315
by Henry Sinclair Hall, Samuel Ratcliffe Knight - 1897 - 516 pages
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A College Algebra

James Morford Taylor - Algebra - 1889 - 340 pages
...would any one person be chosen? 4. From 14 books in how many ways can a selection of 5 be made, (i) when one specified book is always included, (2) when one specified book is always excluded? 5. On how many days might a person having 15 friends invite a different party of 10? of 12? 6. Given...
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A College Algebra

James Morford Taylor - Algebra - 1889 - 340 pages
...many ways can this be done ? In all -the ways, how often would any one person be chosen? 4. From 14 books in how many ways can a selection of 5 be made, (i) when one specified book is always included, (2) when one specified book is always excluded? 5....
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Higher Algebra: A Sequel to Elementary Algebra for Schools

Henry Sinclair Hall, Samuel Ratcliffe Knight - Algebra - 1891 - 606 pages
...if the formula is to be true for r=n, the symbol 10 must be considered as equivalent to 1. Example. From 12 books in how many ways can a selection of...out of the remaining 11. Hence the number of ways = 1 11 x 10 x 9 x 8 (2) select the Since the specified book is always to be excluded, we have to 5...
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Higher Algebra

George P. Lilley - Algebra - 1894 - 522 pages
...t° simplify an expression whose numerator and denominator each contain eighteen factors. EXAMPLE 2. From 12 books, in how many ways can a selection of 5 be made, (1) when one specific book is always included; (2) when one specific book is always excluded 1 Solution. (1) Since...
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Elementary Algebra

Henry Sinclair Hall, Samuel Ratcliffe Knight - Algebra - 1895 - 508 pages
...— r + l) x \nr ,n - ¡ - = , or , — : since m(ii-l) (и -2) ...... (и-r + l) x \nr-\n. Example. From 12 books in how many ways can a selection of...we have only to choose 4 out of the remaining 11. . . ,,_ 11x10x9x8 . , Hence the number of ways="C74=-j — ^-— — — =330. (2) Since the specified...
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Elements of Algebra

James Morford Taylor - Algebra - 1900 - 504 pages
...how many ways can tins be done? In all the ways, how often would any one person be chosen? 4. From 14 books in how many ways can a selection of 5 be made, when one specified book is always included '! when one specified book is always excluded? 5. On how...
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Elements of Algebra

Henry Sinclair Hall - 1918 - 382 pages
...put г = n, we have but "Cn = 1, so that if the formula Is to be true for r = п, the symbol t£must be considered as equivalent to 1. Ex. From 12 books...out of the remaining 11. Hence the number of ways = UC4 = n * 10 x 9 x 8 _ 330 1x2x3x4 (2) Since the specified book is always to be excluded, we have...
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The Pre-calculus Problem Solver

Max Fogiel, Research and Education Association - Mathematics - 1984 - 1112 pages
...possible words is, by the fundamental principle C(3,2)C(5,3)P(5,5) = 3-10-120 = 3600. • PROBLEM 22-12 From 12 books in how many ways can a selection of...included, (2) when one specified book is always excluded? Solution; Here the formula for combinations is appropriate: the number of combinations of n things...
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Fundamental Concepts of Mathematics

K.T. Leung, P.H. Cheung - Mathematics - 1988 - 268 pages
...can be formed by addim (i) 3, (ii) 6 of the numbers 1 , 2, 4, 8, 1 6, 32, 64, 1 28, 256? 3. From 1 2 books, in how many ways can a selection of 5 be made, (i) when one specified book is always included, (ii) when one specified book is always excluded? 4....
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Finite and Discrete Math Problem Solver

Research & Education Association Editors, Lutfi A. Lutfiyya - Mathematics - 2012 - 1038 pages
...selected from five coins in 5 • 4 ~r~ = Ю ways (applying the fundamental principle) • PROBLEM 7-33 From 12 books in how many ways can a selection of...included, (2) when one specified book is always excluded? Solution; Here the formula for combinations is appropriate: the number of combinations of n things...
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