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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... "
A College Algebra - Page 228
by James Morford Taylor - 1889 - 363 pages
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Higher Algebra: A Sequel to Elementary Algebra for Schools

Henry Sinclair Hall, Samuel Ratcliffe Knight - Algebra - 1891 - 606 pages
...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 5 be made, (1) when one specified book is always included, (2) when one specified book is always excluded ? (1)...
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Higher Algebra

George P. Lilley - Algebra - 1894 - 522 pages
...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....
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Elementary Algebra

Henry Sinclair Hall, Samuel Ratcliffe Knight - Algebra - 1895 - 508 pages
...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 5 be made, (1) when one specified book is always included, (2) when one specified book is always excluded ? (1)...
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Algebra for Colleges and Schools

Henry Sinclair Hall, Samuel Ratcliffe Knight - Algebra - 1897 - 552 pages
...considered as equivalent to 1. Ex. From 12 books in how many ways can a selection of б 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 of...
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Algebra for Colleges and Schools

Henry Sinclair Hall, Samuel Ratcliffe Knight - Algebra - 1897 - 548 pages
...formula is to be true for r = n, the symbol |0 must be considered as equivalent to 1. % Ex; 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)...
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Elements of Algebra

James Morford Taylor - Algebra - 1900 - 504 pages
...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...15 friends invite a different party of 10? of 12? M 6. Given 3(72 = 15, to find и. 7. Given "+1C, = 9 x "C'a to find w. 8. In a certain district there...
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Elements of Algebra

Henry Sinclair Hall - 1918 - 382 pages
...formula Is to be true for r = п, the symbol t£must be considered as equivalent to 1. Ex. 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)...
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The Pre-calculus Problem Solver

Max Fogiel, Research and Education Association - Mathematics - 1984 - 1112 pages
...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 5 be made, (1) when one specified book is always included, (2) when one specified book is always excluded? Solution;...
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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. How many committees of 9 members can be ch 6 men...
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Finite and Discrete Math Problem Solver

Research & Education Association Editors, Lutfi A. Lutfiyya - Mathematics - 2012 - 1038 pages
...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 5 be made, (1) when one specified book is always included, (2) when one specified book is always excluded? Solution;...
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